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Finding the Third Proportional to 2,840,658 and 3,839,163

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Solution

The third proportional to 2,840,658 and 3,839,163 is: 5,188,647.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,840,658 : 3,839,163 = 3,839,163 : x
  2. Step 2: Convert to fraction form
    2,840,658/3,839,163 = 3,839,163/x
  3. Step 3: Cross multiply
    2,840,658x = 3,839,163 × 3,839,163
  4. Step 4: Simplify right side
    2,840,658x = 14,739,172,540,569
  5. Step 5: Solve for x
    x = 14,739,172,540,569/2,840,658
  6. Step 6: Final answer
    x = 5,188,647.33

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.