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Finding the Third Proportional to 444,897 and 959,781

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Solution

The third proportional to 444,897 and 959,781 is: 2,070,545.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,897 : 959,781 = 959,781 : x
  2. Step 2: Convert to fraction form
    444,897/959,781 = 959,781/x
  3. Step 3: Cross multiply
    444,897x = 959,781 × 959,781
  4. Step 4: Simplify right side
    444,897x = 921,179,567,961
  5. Step 5: Solve for x
    x = 921,179,567,961/444,897
  6. Step 6: Final answer
    x = 2,070,545.69

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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.