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Finding the Third Proportional to 951,381 and 1,457,217

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Solution

The third proportional to 951,381 and 1,457,217 is: 2,231,998.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    951,381 : 1,457,217 = 1,457,217 : x
  2. Step 2: Convert to fraction form
    951,381/1,457,217 = 1,457,217/x
  3. Step 3: Cross multiply
    951,381x = 1,457,217 × 1,457,217
  4. Step 4: Simplify right side
    951,381x = 2,123,481,385,089
  5. Step 5: Solve for x
    x = 2,123,481,385,089/951,381
  6. Step 6: Final answer
    x = 2,231,998.94

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.