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Finding the Third Proportional to 648,339 and 951,474

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Solution

The third proportional to 648,339 and 951,474 is: 1,396,341.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,339 : 951,474 = 951,474 : x
  2. Step 2: Convert to fraction form
    648,339/951,474 = 951,474/x
  3. Step 3: Cross multiply
    648,339x = 951,474 × 951,474
  4. Step 4: Simplify right side
    648,339x = 905,302,772,676
  5. Step 5: Solve for x
    x = 905,302,772,676/648,339
  6. Step 6: Final answer
    x = 1,396,341.69

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.