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Finding the Third Proportional to 604,082 and 959,691

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Solution

The third proportional to 604,082 and 959,691 is: 1,524,638.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,082 : 959,691 = 959,691 : x
  2. Step 2: Convert to fraction form
    604,082/959,691 = 959,691/x
  3. Step 3: Cross multiply
    604,082x = 959,691 × 959,691
  4. Step 4: Simplify right side
    604,082x = 921,006,815,481
  5. Step 5: Solve for x
    x = 921,006,815,481/604,082
  6. Step 6: Final answer
    x = 1,524,638.73

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.