Therefore, in Kansas, Barack Obama gained 543,440 votes to Hillary Clinton's 189,240 votes. This is a far wider margin of victory than Clinton supporters would like to admit, but decidedly more accurate.

Let's just say, for arguments sake, that we're overestimating how many people a county delegate represents. Let's call it 10 rather than 20. Then the tally becomes 271,720 votes for Obama, and 94,620 for Clinton. A substantial victory. And that is the absolute bottom lowest average estimate

13 caucus states so far in the Primary and Clinton has only won one of them. Obama defeated her in Iowa, Alaska, Idaho, Kansas, Minnesota, Colorado, North Dakota, Nebraska, Washington, Maine, Hawaii and Wyoming.

The tally of county delegates for these states, has Obama at 366,764 and Clinton at 156,563. Multiply these numbers by 10, it puts Obama at 3,667,640 and Clinton at 1,565,630, a margin of 2 million votes.

Applied to the final tally, it puts Obama ahead of Clinton by 2,300,000 vo

Exactly right. Some states elect delegates by voting in primaries; other states elect delegates by voting in caucuses. Two facts should be clear:
1. The purpose of the process is selection of delegates
2. The so-called "popular vote" omits all voters who voted in caucuses. It is a partial number, not a true count of all voters.

For Hillary, who didn't do well in caucus states, it's a convenient way of blunting the impact of states where Obama won.