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Finding the Third Proportional to 451,870,729 and 698,255,501

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Solution

The third proportional to 451,870,729 and 698,255,501 is: 1,078,982,800.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,870,729 : 698,255,501 = 698,255,501 : x
  2. Step 2: Convert to fraction form
    451,870,729/698,255,501 = 698,255,501/x
  3. Step 3: Cross multiply
    451,870,729x = 698,255,501 × 698,255,501
  4. Step 4: Simplify right side
    451,870,729x = 487,560,744,676,761,024
  5. Step 5: Solve for x
    x = 487,560,744,676,761,024/451,870,729
  6. Step 6: Final answer
    x = 1,078,982,800.58

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.