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Finding the Third Proportional to 731,646 and 1,542,996

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Solution

The third proportional to 731,646 and 1,542,996 is: 3,254,082.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    731,646 : 1,542,996 = 1,542,996 : x
  2. Step 2: Convert to fraction form
    731,646/1,542,996 = 1,542,996/x
  3. Step 3: Cross multiply
    731,646x = 1,542,996 × 1,542,996
  4. Step 4: Simplify right side
    731,646x = 2,380,836,656,016
  5. Step 5: Solve for x
    x = 2,380,836,656,016/731,646
  6. Step 6: Final answer
    x = 3,254,082.79

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.