Tight threads (dishwasher supply elbow)

I just got a new dishwasher, and purchased a 3/8" steel braid line with 90 degree brass elbow (clearly marked for use with dishwashers) to hook up the hot water supply.
The elbow connection to the appliance is exceptionally tight...and I am reluctant to force it. Shouldn't these things be standard? I can get it screwed in (by hand) maybe 1 - 2 full turns, but that leaves a good 75% of the threads exposed.
Do I have the wrong fitting? Are my threads slightly too large? Should I try wrenching the connection? This was a 'dry fit', as I was planning on using teflon tape on all connections...but I'm pretty sure that teflon will just get shredded when I apply force.
Any ideas?
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brass fittings can be the chits.....use pipe dope for lubrication...

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