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Finding the Third Proportional to 827,876 and 1,810,732

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Solution

The third proportional to 827,876 and 1,810,732 is: 3,960,436.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,876 : 1,810,732 = 1,810,732 : x
  2. Step 2: Convert to fraction form
    827,876/1,810,732 = 1,810,732/x
  3. Step 3: Cross multiply
    827,876x = 1,810,732 × 1,810,732
  4. Step 4: Simplify right side
    827,876x = 3,278,750,375,824
  5. Step 5: Solve for x
    x = 3,278,750,375,824/827,876
  6. Step 6: Final answer
    x = 3,960,436.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.