Finding the Third Proportional to 462,116,392 and 1,027,555,410
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Solution
The third proportional to 462,116,392 and 1,027,555,410 is: 2,284,857,535.68
Step by Step Solution
- Step 1: Write the proportion equation
462,116,392 : 1,027,555,410 = 1,027,555,410 : x - Step 2: Convert to fraction form
462,116,392/1,027,555,410 = 1,027,555,410/x - Step 3: Cross multiply
462,116,392x = 1,027,555,410 × 1,027,555,410 - Step 4: Simplify right side
462,116,392x = 1,055,870,120,620,268,160 - Step 5: Solve for x
x = 1,055,870,120,620,268,160/462,116,392 - Step 6: Final answer
x = 2,284,857,535.68
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Why These Related Problems?
These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.