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Finding the Third Proportional to 2,486,385 and 3,839,413

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Solution

The third proportional to 2,486,385 and 3,839,413 is: 5,928,724.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,486,385 : 3,839,413 = 3,839,413 : x
  2. Step 2: Convert to fraction form
    2,486,385/3,839,413 = 3,839,413/x
  3. Step 3: Cross multiply
    2,486,385x = 3,839,413 × 3,839,413
  4. Step 4: Simplify right side
    2,486,385x = 14,741,092,184,569
  5. Step 5: Solve for x
    x = 14,741,092,184,569/2,486,385
  6. Step 6: Final answer
    x = 5,928,724.71

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.