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I am not an astrophysicist, but I imagine it happens during planetary formation. One center of mass gets big enough to disrupt smaller pieces of material, either pulling them into it or flinging them away. Eventually the debris in its sphere of influence gets (mostly) cleared out. Your hypothetical of Saturn just having a second planet in its orbit and clearing it out is not how it happened.
And if you're wondering what other object is in Pluto's orbit, I'd just point to its binary partner Charon. It's so massive that the center of gravity for the system is in space between the two.
Isn't that nearly true of the Earth and the Moon as well?
No, the barycenter of the Earth-Luna system is 5,000km from the center of the Earth, or about 1,300 km down.
The moon is also only about 1% of the mass of the Earth, which is huge compared to other moons in the solar system, while Charon is 11% the mass of Pluto.
Edited to add: All of this is publicly available information, you could have googled it if you wanted to learn instead of argue.
Did Google, didn't understand.
It's cool my friend, I didn't mean to bother you. You go out and have a good time from here on.