Hi Strojo,
to quote Wikipedia: "Occasionally, plug and socket combinations may allow power to flow but may not meet product standards for mating force, earthing, current capacity, life expectancy, or safety. Improvised or user-modified connectors will not meet the product safety standards. Adaptors between different standards can overcome mechanical incompatibility."
Judging by your picture, you're talking about a single-phase without safety ground connection. That third center pin if it had been required by your receiver would have been your earth ground (in North America anyway). If your receiver socket *did* have the third pin, you'd want to assure it was suitably earth grounded for safety (PC's, some televisions, etc. have this). But it doesn't.
(on a receiver, and most AC powered audio equipment, that earth ground if it had been present could have caused some unwanted noise, as in ground loops)
Since yours does not "want" that connection, and if you've got on hand a 3-wire power cable that will fit, IMHO it should bring no harm to have 3rd pin on your cable's plug go unused.
I have that situation on my subwoofers here. The sub has a two pin socket (just like your picture) and my cable has 3, electrically the sub works, but it's a loose fit with the power cable. For my purposes, I have not obtained the "proper" power cable with just 2 connectors (bought sub used, it came with a 3-pin plug on the cable). I recently purchased a second, identical sub (SVS PB13 Ultra) new from the manufacturer, and it also came with a 2-pin socket, and a 3-pin cable plug! So, there's some anecdotal validation FWIW.
A couple of times the sub has quit working, it's because that cable has come loose with vibration to the point where it's no longer powering. I've tried a number of cables, they all seem loose even new ones. So, "mating force" up there on the Wiki kinda means that too, I suppose. Maybe a good popsicle stick stuck in there alongside might help! Good luck!