2-pin 15amp cord replaced with 3-pin 15amp?

I just acquired a Luxman CD-player and it turns out the IEC connector on the back is 2-pin (a 2-pin to 2-pin powercord is supplied).  Can I safely use my after-market 3-pin cord on it (JPS Labs digital ac-x)?  The shape of the connector on the back of the unit looks to be identical.  The ground pin will be in the receptacle in the wall, but it won't be going anywhere at the CD-player end.  Does that matter?  Does it remove any benefit derived from using the JPS Labs cord?