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Finding the Third Proportional to 827,239 and 1,327,241

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Solution

The third proportional to 827,239 and 1,327,241 is: 2,129,455.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,239 : 1,327,241 = 1,327,241 : x
  2. Step 2: Convert to fraction form
    827,239/1,327,241 = 1,327,241/x
  3. Step 3: Cross multiply
    827,239x = 1,327,241 × 1,327,241
  4. Step 4: Simplify right side
    827,239x = 1,761,568,672,081
  5. Step 5: Solve for x
    x = 1,761,568,672,081/827,239
  6. Step 6: Final answer
    x = 2,129,455.54

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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.