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Finding the Third Proportional to 604,114 and 959,739

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Solution

The third proportional to 604,114 and 959,739 is: 1,524,710.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,114 : 959,739 = 959,739 : x
  2. Step 2: Convert to fraction form
    604,114/959,739 = 959,739/x
  3. Step 3: Cross multiply
    604,114x = 959,739 × 959,739
  4. Step 4: Simplify right side
    604,114x = 921,098,948,121
  5. Step 5: Solve for x
    x = 921,098,948,121/604,114
  6. Step 6: Final answer
    x = 1,524,710.48

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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.