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Finding the Third Proportional to 3,155,976 and 4,465,638

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Solution

The third proportional to 3,155,976 and 4,465,638 is: 6,318,781.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,155,976 : 4,465,638 = 4,465,638 : x
  2. Step 2: Convert to fraction form
    3,155,976/4,465,638 = 4,465,638/x
  3. Step 3: Cross multiply
    3,155,976x = 4,465,638 × 4,465,638
  4. Step 4: Simplify right side
    3,155,976x = 19,941,922,747,044
  5. Step 5: Solve for x
    x = 19,941,922,747,044/3,155,976
  6. Step 6: Final answer
    x = 6,318,781.49

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.