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Finding the Third Proportional to 2,238,934.92 and 4,857,997.78

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Solution

The third proportional to 2,238,934.92 and 4,857,997.78 is: 10,540,789.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,238,934.92 : 4,857,997.78 = 4,857,997.78 : x
  2. Step 2: Convert to fraction form
    2,238,934.92/4,857,997.78 = 4,857,997.78/x
  3. Step 3: Cross multiply
    2,238,934.92x = 4,857,997.78 × 4,857,997.78
  4. Step 4: Simplify right side
    2,238,934.92x = 23,600,142,442,629.92
  5. Step 5: Solve for x
    x = 23,600,142,442,629.92/2,238,934.92
  6. Step 6: Final answer
    x = 10,540,789.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.