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Finding the Third Proportional to 731,644 and 1,125,996

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Solution

The third proportional to 731,644 and 1,125,996 is: 1,732,901.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,644 : 1,125,996 = 1,125,996 : x
  2. Step 2: Convert to fraction form
    731,644/1,125,996 = 1,125,996/x
  3. Step 3: Cross multiply
    731,644x = 1,125,996 × 1,125,996
  4. Step 4: Simplify right side
    731,644x = 1,267,866,992,016
  5. Step 5: Solve for x
    x = 1,267,866,992,016/731,644
  6. Step 6: Final answer
    x = 1,732,901.51

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.