Best viewed at 100%. The image is more or less to scale. Scroll a million miles to the right to find moon and camera.
(don't worry it's only a 300K jpeg)
http://ozimg.s3.amazonaws.com/earth-moon-from-million-miles....
Looking at this picture, it's hard for me to comprehend why the moon would orbit the earth and not fall into the sun.
However, the orbit it flies around the Earth only very slightly modifies it's orbit around the Sun. The lunar orbital speed around the earth is ~1km/s, while the orbital speed around the sun is ~30km/s. That is, it never loops backwards on it's path around the sun, it's orbital velocity is at most only reduced by about 3%.
Picture from wikipedia: https://en.wikipedia.org/wiki/File:Moon_trajectory1.svg
The gas giants are much more massive than earth, while also being much further away, and many of their moons orbit closer to them. This all combined makes some of their moons pulled more strongly by them than they are pulled by the sun.
So sure, the moon is far from the earth, but that just means it takes ~28 days to orbit the earth.
PS: The moons orbit is actually 29.5 or 27.3 days depending on how you count it.
RIP D.A.
Earth and Moon from NASA.
BTW, 80 pixels in the image is approx 7917 miles (diameter of Earth). Width of image is 10,080 pixels, pretty much 1 million miles. Moon is 238,855 miles from Earth or about 2400 pixels in.