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Finding the Third Proportional to 521,805 and 1,132,839

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Solution

The third proportional to 521,805 and 1,132,839 is: 2,459,394.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,805 : 1,132,839 = 1,132,839 : x
  2. Step 2: Convert to fraction form
    521,805/1,132,839 = 1,132,839/x
  3. Step 3: Cross multiply
    521,805x = 1,132,839 × 1,132,839
  4. Step 4: Simplify right side
    521,805x = 1,283,324,199,921
  5. Step 5: Solve for x
    x = 1,283,324,199,921/521,805
  6. Step 6: Final answer
    x = 2,459,394.22

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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.