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Finding the Third Proportional to 422,700,703 and 679,489,169.50

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Solution

The third proportional to 422,700,703 and 679,489,169.50 is: 1,092,275,286.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,700,703 : 679,489,169.50 = 679,489,169.50 : x
  2. Step 2: Convert to fraction form
    422,700,703/679,489,169.50 = 679,489,169.50/x
  3. Step 3: Cross multiply
    422,700,703x = 679,489,169.50 × 679,489,169.50
  4. Step 4: Simplify right side
    422,700,703x = 461,705,531,467,799,744
  5. Step 5: Solve for x
    x = 461,705,531,467,799,744/422,700,703
  6. Step 6: Final answer
    x = 1,092,275,286.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.