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Finding the Third Proportional to 2,140,986 and 3,279,294

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Solution

The third proportional to 2,140,986 and 3,279,294 is: 5,022,811.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,140,986 : 3,279,294 = 3,279,294 : x
  2. Step 2: Convert to fraction form
    2,140,986/3,279,294 = 3,279,294/x
  3. Step 3: Cross multiply
    2,140,986x = 3,279,294 × 3,279,294
  4. Step 4: Simplify right side
    2,140,986x = 10,753,769,138,436
  5. Step 5: Solve for x
    x = 10,753,769,138,436/2,140,986
  6. Step 6: Final answer
    x = 5,022,811.52

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.