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Finding the Third Proportional to 2,503,386 and 3,766,743

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Solution

The third proportional to 2,503,386 and 3,766,743 is: 5,667,664.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,503,386 : 3,766,743 = 3,766,743 : x
  2. Step 2: Convert to fraction form
    2,503,386/3,766,743 = 3,766,743/x
  3. Step 3: Cross multiply
    2,503,386x = 3,766,743 × 3,766,743
  4. Step 4: Simplify right side
    2,503,386x = 14,188,352,828,049
  5. Step 5: Solve for x
    x = 14,188,352,828,049/2,503,386
  6. Step 6: Final answer
    x = 5,667,664.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.