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Finding the Third Proportional to 591,130 and 914,374

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Solution

The third proportional to 591,130 and 914,374 is: 1,414,375.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,130 : 914,374 = 914,374 : x
  2. Step 2: Convert to fraction form
    591,130/914,374 = 914,374/x
  3. Step 3: Cross multiply
    591,130x = 914,374 × 914,374
  4. Step 4: Simplify right side
    591,130x = 836,079,811,876
  5. Step 5: Solve for x
    x = 836,079,811,876/591,130
  6. Step 6: Final answer
    x = 1,414,375.54

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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.