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Finding the Third Proportional to 515,108 and 819,638

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Solution

The third proportional to 515,108 and 819,638 is: 1,304,205.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,108 : 819,638 = 819,638 : x
  2. Step 2: Convert to fraction form
    515,108/819,638 = 819,638/x
  3. Step 3: Cross multiply
    515,108x = 819,638 × 819,638
  4. Step 4: Simplify right side
    515,108x = 671,806,451,044
  5. Step 5: Solve for x
    x = 671,806,451,044/515,108
  6. Step 6: Final answer
    x = 1,304,205.04

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.