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Finding the Third Proportional to 444,902 and 959,792

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Solution

The third proportional to 444,902 and 959,792 is: 2,070,569.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,902 : 959,792 = 959,792 : x
  2. Step 2: Convert to fraction form
    444,902/959,792 = 959,792/x
  3. Step 3: Cross multiply
    444,902x = 959,792 × 959,792
  4. Step 4: Simplify right side
    444,902x = 921,200,683,264
  5. Step 5: Solve for x
    x = 921,200,683,264/444,902
  6. Step 6: Final answer
    x = 2,070,569.89

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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.