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Finding the Third Proportional to 538,227 and 1,268,751

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Solution

The third proportional to 538,227 and 1,268,751 is: 2,990,799.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    538,227 : 1,268,751 = 1,268,751 : x
  2. Step 2: Convert to fraction form
    538,227/1,268,751 = 1,268,751/x
  3. Step 3: Cross multiply
    538,227x = 1,268,751 × 1,268,751
  4. Step 4: Simplify right side
    538,227x = 1,609,729,100,001
  5. Step 5: Solve for x
    x = 1,609,729,100,001/538,227
  6. Step 6: Final answer
    x = 2,990,799.61

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.