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Finding the Third Proportional to 3,812,884 and 5,591,022

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Solution

The third proportional to 3,812,884 and 5,591,022 is: 8,198,394.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812,884 : 5,591,022 = 5,591,022 : x
  2. Step 2: Convert to fraction form
    3,812,884/5,591,022 = 5,591,022/x
  3. Step 3: Cross multiply
    3,812,884x = 5,591,022 × 5,591,022
  4. Step 4: Simplify right side
    3,812,884x = 31,259,527,004,484
  5. Step 5: Solve for x
    x = 31,259,527,004,484/3,812,884
  6. Step 6: Final answer
    x = 8,198,394.44

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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.