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Finding the Third Proportional to 713,984 and 951,872

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Solution

The third proportional to 713,984 and 951,872 is: 1,269,020.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    713,984 : 951,872 = 951,872 : x
  2. Step 2: Convert to fraction form
    713,984/951,872 = 951,872/x
  3. Step 3: Cross multiply
    713,984x = 951,872 × 951,872
  4. Step 4: Simplify right side
    713,984x = 906,060,304,384
  5. Step 5: Solve for x
    x = 906,060,304,384/713,984
  6. Step 6: Final answer
    x = 1,269,020.46

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.