Most sources seem to put it at 0.1 mSv for a chest x-ray.
The FAA link for a Tokyo to LA 9 hour flight would be about 0.0206 mSv, or approximately 2 chest x-rays for the total flight.
However the FAA research you linked would put a New York to Seattle flight at a total of 0.112 mSv, whereas this CDC link says a trans-continental flight is only at the order of mangnitude of 0.035 mSv...