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Finding the Third Proportional to 444,890 and 959,762

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Solution

The third proportional to 444,890 and 959,762 is: 2,070,496.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    444,890 : 959,762 = 959,762 : x
  2. Step 2: Convert to fraction form
    444,890/959,762 = 959,762/x
  3. Step 3: Cross multiply
    444,890x = 959,762 × 959,762
  4. Step 4: Simplify right side
    444,890x = 921,143,096,644
  5. Step 5: Solve for x
    x = 921,143,096,644/444,890
  6. Step 6: Final answer
    x = 2,070,496.29

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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.