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Finding the Third Proportional to 460,577,828 and 707,577,609

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Solution

The third proportional to 460,577,828 and 707,577,609 is: 1,087,039,024.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    460,577,828 : 707,577,609 = 707,577,609 : x
  2. Step 2: Convert to fraction form
    460,577,828/707,577,609 = 707,577,609/x
  3. Step 3: Cross multiply
    460,577,828x = 707,577,609 × 707,577,609
  4. Step 4: Simplify right side
    460,577,828x = 500,666,072,758,156,864
  5. Step 5: Solve for x
    x = 500,666,072,758,156,864/460,577,828
  6. Step 6: Final answer
    x = 1,087,039,024.29

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.