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Finding the Third Proportional to 2,082,206 and 3,149,571

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Solution

The third proportional to 2,082,206 and 3,149,571 is: 4,764,080.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,082,206 : 3,149,571 = 3,149,571 : x
  2. Step 2: Convert to fraction form
    2,082,206/3,149,571 = 3,149,571/x
  3. Step 3: Cross multiply
    2,082,206x = 3,149,571 × 3,149,571
  4. Step 4: Simplify right side
    2,082,206x = 9,919,797,484,041
  5. Step 5: Solve for x
    x = 9,919,797,484,041/2,082,206
  6. Step 6: Final answer
    x = 4,764,080.73

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.