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Finding the Third Proportional to 2,471,862 and 3,825,403

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Solution

The third proportional to 2,471,862 and 3,825,403 is: 5,920,115.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,862 : 3,825,403 = 3,825,403 : x
  2. Step 2: Convert to fraction form
    2,471,862/3,825,403 = 3,825,403/x
  3. Step 3: Cross multiply
    2,471,862x = 3,825,403 × 3,825,403
  4. Step 4: Simplify right side
    2,471,862x = 14,633,708,112,409
  5. Step 5: Solve for x
    x = 14,633,708,112,409/2,471,862
  6. Step 6: Final answer
    x = 5,920,115.33

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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.