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Finding the Third Proportional to 471,841,789 and 707,762,744

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Solution

The third proportional to 471,841,789 and 707,762,744 is: 1,061,644,206.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    471,841,789 : 707,762,744 = 707,762,744 : x
  2. Step 2: Convert to fraction form
    471,841,789/707,762,744 = 707,762,744/x
  3. Step 3: Cross multiply
    471,841,789x = 707,762,744 × 707,762,744
  4. Step 4: Simplify right side
    471,841,789x = 500,928,101,794,409,536
  5. Step 5: Solve for x
    x = 500,928,101,794,409,536/471,841,789
  6. Step 6: Final answer
    x = 1,061,644,206.75

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