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Finding the Third Proportional to 2,471,865 and 3,825,408

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Solution

The third proportional to 2,471,865 and 3,825,408 is: 5,920,123.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,865 : 3,825,408 = 3,825,408 : x
  2. Step 2: Convert to fraction form
    2,471,865/3,825,408 = 3,825,408/x
  3. Step 3: Cross multiply
    2,471,865x = 3,825,408 × 3,825,408
  4. Step 4: Simplify right side
    2,471,865x = 14,633,746,366,464
  5. Step 5: Solve for x
    x = 14,633,746,366,464/2,471,865
  6. Step 6: Final answer
    x = 5,920,123.62

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.