How many grams of calcium phosphate and carbon should the match manufacturer use?

In 1860, Robert Boyle was the first to use phosphorus to ignite sulfur-tipped wooden splints that gave rise to our modern matches. One of the ways it can be made involves the chemical reaction of calcium phosphate with carbon and silicon dioxide in a furnace:

 

2Ca3(PO4)2 + 6SiO2 + 10C → 6CaSiO3 + P4 + 10CO

Refer to the information above. A match manufacturer received a supply of 2.72 × 106 g of silicon dioxide. In order to reduce waste and improve product purity, the match manufacturer must measure precise amounts of the other reactants.

How many grams of calcium phosphate and carbon should the match manufacturer use?

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