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Finding the Third Proportional to 3,451,941 and 5,177,911

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Solution

The third proportional to 3,451,941 and 5,177,911 is: 7,766,865.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,451,941 : 5,177,911 = 5,177,911 : x
  2. Step 2: Convert to fraction form
    3,451,941/5,177,911 = 5,177,911/x
  3. Step 3: Cross multiply
    3,451,941x = 5,177,911 × 5,177,911
  4. Step 4: Simplify right side
    3,451,941x = 26,810,762,323,921
  5. Step 5: Solve for x
    x = 26,810,762,323,921/3,451,941
  6. Step 6: Final answer
    x = 7,766,865.75

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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.