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Finding the Third Proportional to 902,631 and 1,982,397

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Solution

The third proportional to 902,631 and 1,982,397 is: 4,353,825.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,631 : 1,982,397 = 1,982,397 : x
  2. Step 2: Convert to fraction form
    902,631/1,982,397 = 1,982,397/x
  3. Step 3: Cross multiply
    902,631x = 1,982,397 × 1,982,397
  4. Step 4: Simplify right side
    902,631x = 3,929,897,865,609
  5. Step 5: Solve for x
    x = 3,929,897,865,609/902,631
  6. Step 6: Final answer
    x = 4,353,825.50

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.