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Finding the Third Proportional to 412,969 and 914,374

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Solution

The third proportional to 412,969 and 914,374 is: 2,024,558.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,969 : 914,374 = 914,374 : x
  2. Step 2: Convert to fraction form
    412,969/914,374 = 914,374/x
  3. Step 3: Cross multiply
    412,969x = 914,374 × 914,374
  4. Step 4: Simplify right side
    412,969x = 836,079,811,876
  5. Step 5: Solve for x
    x = 836,079,811,876/412,969
  6. Step 6: Final answer
    x = 2,024,558.29

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.