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Finding the Third Proportional to 2,231,734 and 3,243,921

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Solution

The third proportional to 2,231,734 and 3,243,921 is: 4,715,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,231,734 : 3,243,921 = 3,243,921 : x
  2. Step 2: Convert to fraction form
    2,231,734/3,243,921 = 3,243,921/x
  3. Step 3: Cross multiply
    2,231,734x = 3,243,921 × 3,243,921
  4. Step 4: Simplify right side
    2,231,734x = 10,523,023,454,241
  5. Step 5: Solve for x
    x = 10,523,023,454,241/2,231,734
  6. Step 6: Final answer
    x = 4,715,178.18

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.