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Finding the Third Proportional to 2,282,923 and 3,427,387

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Solution

The third proportional to 2,282,923 and 3,427,387 is: 5,145,588.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,282,923 : 3,427,387 = 3,427,387 : x
  2. Step 2: Convert to fraction form
    2,282,923/3,427,387 = 3,427,387/x
  3. Step 3: Cross multiply
    2,282,923x = 3,427,387 × 3,427,387
  4. Step 4: Simplify right side
    2,282,923x = 11,746,981,647,769
  5. Step 5: Solve for x
    x = 11,746,981,647,769/2,282,923
  6. Step 6: Final answer
    x = 5,145,588.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.