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Finding the Third Proportional to 2,471,860 and 3,825,400

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Solution

The third proportional to 2,471,860 and 3,825,400 is: 5,920,110.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,860 : 3,825,400 = 3,825,400 : x
  2. Step 2: Convert to fraction form
    2,471,860/3,825,400 = 3,825,400/x
  3. Step 3: Cross multiply
    2,471,860x = 3,825,400 × 3,825,400
  4. Step 4: Simplify right side
    2,471,860x = 14,633,685,160,000
  5. Step 5: Solve for x
    x = 14,633,685,160,000/2,471,860
  6. Step 6: Final answer
    x = 5,920,110.83

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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.