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Finding the Third Proportional to 2,481,670 and 3,981,651

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Solution

The third proportional to 2,481,670 and 3,981,651 is: 6,388,256.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,481,670 : 3,981,651 = 3,981,651 : x
  2. Step 2: Convert to fraction form
    2,481,670/3,981,651 = 3,981,651/x
  3. Step 3: Cross multiply
    2,481,670x = 3,981,651 × 3,981,651
  4. Step 4: Simplify right side
    2,481,670x = 15,853,544,685,801
  5. Step 5: Solve for x
    x = 15,853,544,685,801/2,481,670
  6. Step 6: Final answer
    x = 6,388,256.57

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.