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Finding the Third Proportional to 2,471,867 and 3,825,411

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Solution

The third proportional to 2,471,867 and 3,825,411 is: 5,920,128.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,471,867 : 3,825,411 = 3,825,411 : x
  2. Step 2: Convert to fraction form
    2,471,867/3,825,411 = 3,825,411/x
  3. Step 3: Cross multiply
    2,471,867x = 3,825,411 × 3,825,411
  4. Step 4: Simplify right side
    2,471,867x = 14,633,769,318,921
  5. Step 5: Solve for x
    x = 14,633,769,318,921/2,471,867
  6. Step 6: Final answer
    x = 5,920,128.11

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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.