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Finding the Third Proportional to 2,171,486 and 4,288,474

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Solution

The third proportional to 2,171,486 and 4,288,474 is: 8,469,319.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,486 : 4,288,474 = 4,288,474 : x
  2. Step 2: Convert to fraction form
    2,171,486/4,288,474 = 4,288,474/x
  3. Step 3: Cross multiply
    2,171,486x = 4,288,474 × 4,288,474
  4. Step 4: Simplify right side
    2,171,486x = 18,391,009,248,676
  5. Step 5: Solve for x
    x = 18,391,009,248,676/2,171,486
  6. Step 6: Final answer
    x = 8,469,319.74

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.