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Finding the Third Proportional to 730,642 and 1,691,467

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Solution

The third proportional to 730,642 and 1,691,467 is: 3,915,817.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    730,642 : 1,691,467 = 1,691,467 : x
  2. Step 2: Convert to fraction form
    730,642/1,691,467 = 1,691,467/x
  3. Step 3: Cross multiply
    730,642x = 1,691,467 × 1,691,467
  4. Step 4: Simplify right side
    730,642x = 2,861,060,612,089
  5. Step 5: Solve for x
    x = 2,861,060,612,089/730,642
  6. Step 6: Final answer
    x = 3,915,817.34

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.