The following is taken from http://science.howstuffworks.com/question72.htm :
The following diagram shows how the moon causes tides on Earth:

In this diagram, you can see that the moon's gravitational force pulls on water in the oceans so that there are "bulges" in the ocean on both sides of the planet. The moon pulls water toward it, and this causes the bulge toward the moon. The bulge on the side of the Earth opposite the moon is caused by the moon "pulling the Earth away" from the water on that side.
Now for my question. Can someone explain the last sentence in the paragraph above? If the gravitational field of the moon causes a bulge in the ocean on the opposite side of the Earth because it pulls harder on the denser rock, how can it pull harder on the less-dense water on the near side?