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Finding the Third Proportional to 3,812,880 and 5,591,016

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Solution

The third proportional to 3,812,880 and 5,591,016 is: 8,198,385.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812,880 : 5,591,016 = 5,591,016 : x
  2. Step 2: Convert to fraction form
    3,812,880/5,591,016 = 5,591,016/x
  3. Step 3: Cross multiply
    3,812,880x = 5,591,016 × 5,591,016
  4. Step 4: Simplify right side
    3,812,880x = 31,259,459,912,256
  5. Step 5: Solve for x
    x = 31,259,459,912,256/3,812,880
  6. Step 6: Final answer
    x = 8,198,385.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.