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Finding the Third Proportional to 2,049,086 and 3,057,021

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Solution

The third proportional to 2,049,086 and 3,057,021 is: 4,560,754.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,049,086 : 3,057,021 = 3,057,021 : x
  2. Step 2: Convert to fraction form
    2,049,086/3,057,021 = 3,057,021/x
  3. Step 3: Cross multiply
    2,049,086x = 3,057,021 × 3,057,021
  4. Step 4: Simplify right side
    2,049,086x = 9,345,377,394,441
  5. Step 5: Solve for x
    x = 9,345,377,394,441/2,049,086
  6. Step 6: Final answer
    x = 4,560,754.11

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Why These Related Problems?

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