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Finding the Third Proportional to 444,902 and 959,791

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Solution

The third proportional to 444,902 and 959,791 is: 2,070,565.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,902 : 959,791 = 959,791 : x
  2. Step 2: Convert to fraction form
    444,902/959,791 = 959,791/x
  3. Step 3: Cross multiply
    444,902x = 959,791 × 959,791
  4. Step 4: Simplify right side
    444,902x = 921,198,763,681
  5. Step 5: Solve for x
    x = 921,198,763,681/444,902
  6. Step 6: Final answer
    x = 2,070,565.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.