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Finding the Third Proportional to 3,648,016 and 5,451,584

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Solution

The third proportional to 3,648,016 and 5,451,584 is: 8,146,830.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,648,016 : 5,451,584 = 5,451,584 : x
  2. Step 2: Convert to fraction form
    3,648,016/5,451,584 = 5,451,584/x
  3. Step 3: Cross multiply
    3,648,016x = 5,451,584 × 5,451,584
  4. Step 4: Simplify right side
    3,648,016x = 29,719,768,109,056
  5. Step 5: Solve for x
    x = 29,719,768,109,056/3,648,016
  6. Step 6: Final answer
    x = 8,146,830.53

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.