HDTV pixels are larger but you are wrong about the resolution. They aren't the same but close. I think the HDTV has the same resolution to a 22" LCD Monitor.
16:10 = 1920 x 1200
16:9 = 1920 x 1080
When comparing different aspect ratios they can't possibly be the exact same resolution obviously. But within their own respective aspect ratios they are, for the most part, the same.
A 22" monitor at 16:10 is 1680 x1050.