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Finding the Third Proportional to 654,366 and 959,973

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Solution

The third proportional to 654,366 and 959,973 is: 1,408,306.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    654,366 : 959,973 = 959,973 : x
  2. Step 2: Convert to fraction form
    654,366/959,973 = 959,973/x
  3. Step 3: Cross multiply
    654,366x = 959,973 × 959,973
  4. Step 4: Simplify right side
    654,366x = 921,548,160,729
  5. Step 5: Solve for x
    x = 921,548,160,729/654,366
  6. Step 6: Final answer
    x = 1,408,306.91

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.