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Finding the Third Proportional to 2,542,833 and 3,840,171

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Solution

The third proportional to 2,542,833 and 3,840,171 is: 5,799,402.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,542,833 : 3,840,171 = 3,840,171 : x
  2. Step 2: Convert to fraction form
    2,542,833/3,840,171 = 3,840,171/x
  3. Step 3: Cross multiply
    2,542,833x = 3,840,171 × 3,840,171
  4. Step 4: Simplify right side
    2,542,833x = 14,746,913,309,241
  5. Step 5: Solve for x
    x = 14,746,913,309,241/2,542,833
  6. Step 6: Final answer
    x = 5,799,402.99

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.