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Finding the Third Proportional to 791,884,929 and 1,078,412,109

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Solution

The third proportional to 791,884,929 and 1,078,412,109 is: 1,468,613,221.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    791,884,929 : 1,078,412,109 = 1,078,412,109 : x
  2. Step 2: Convert to fraction form
    791,884,929/1,078,412,109 = 1,078,412,109/x
  3. Step 3: Cross multiply
    791,884,929x = 1,078,412,109 × 1,078,412,109
  4. Step 4: Simplify right side
    791,884,929x = 1,162,972,676,837,827,840
  5. Step 5: Solve for x
    x = 1,162,972,676,837,827,840/791,884,929
  6. Step 6: Final answer
    x = 1,468,613,221.75

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.