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Finding the Third Proportional to 471,841,791 and 707,762,748

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Solution

The third proportional to 471,841,791 and 707,762,748 is: 1,061,644,214.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,841,791 : 707,762,748 = 707,762,748 : x
  2. Step 2: Convert to fraction form
    471,841,791/707,762,748 = 707,762,748/x
  3. Step 3: Cross multiply
    471,841,791x = 707,762,748 × 707,762,748
  4. Step 4: Simplify right side
    471,841,791x = 500,928,107,456,511,488
  5. Step 5: Solve for x
    x = 500,928,107,456,511,488/471,841,791
  6. Step 6: Final answer
    x = 1,061,644,214.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.