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Finding the Third Proportional to 322,406,694 and 699,551,806

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Solution

The third proportional to 322,406,694 and 699,551,806 is: 1,517,873,972.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    322,406,694 : 699,551,806 = 699,551,806 : x
  2. Step 2: Convert to fraction form
    322,406,694/699,551,806 = 699,551,806/x
  3. Step 3: Cross multiply
    322,406,694x = 699,551,806 × 699,551,806
  4. Step 4: Simplify right side
    322,406,694x = 489,372,729,277,861,632
  5. Step 5: Solve for x
    x = 489,372,729,277,861,632/322,406,694
  6. Step 6: Final answer
    x = 1,517,873,972.18

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.