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Finding the Third Proportional to 604,122 and 959,751

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Solution

The third proportional to 604,122 and 959,751 is: 1,524,728.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,122 : 959,751 = 959,751 : x
  2. Step 2: Convert to fraction form
    604,122/959,751 = 959,751/x
  3. Step 3: Cross multiply
    604,122x = 959,751 × 959,751
  4. Step 4: Simplify right side
    604,122x = 921,121,982,001
  5. Step 5: Solve for x
    x = 921,121,982,001/604,122
  6. Step 6: Final answer
    x = 1,524,728.42

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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.