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Finding the Third Proportional to 717,642 and 1,691,683

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Solution

The third proportional to 717,642 and 1,691,683 is: 3,987,770.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    717,642 : 1,691,683 = 1,691,683 : x
  2. Step 2: Convert to fraction form
    717,642/1,691,683 = 1,691,683/x
  3. Step 3: Cross multiply
    717,642x = 1,691,683 × 1,691,683
  4. Step 4: Simplify right side
    717,642x = 2,861,791,372,489
  5. Step 5: Solve for x
    x = 2,861,791,372,489/717,642
  6. Step 6: Final answer
    x = 3,987,770.19

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.