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Finding the Third Proportional to 605,940 and 939,531

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Solution

The third proportional to 605,940 and 939,531 is: 1,456,775.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,940 : 939,531 = 939,531 : x
  2. Step 2: Convert to fraction form
    605,940/939,531 = 939,531/x
  3. Step 3: Cross multiply
    605,940x = 939,531 × 939,531
  4. Step 4: Simplify right side
    605,940x = 882,718,499,961
  5. Step 5: Solve for x
    x = 882,718,499,961/605,940
  6. Step 6: Final answer
    x = 1,456,775.42

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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.