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Finding the Third Proportional to 681,180 and 1,031,203

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Solution

The third proportional to 681,180 and 1,031,203 is: 1,561,084.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,180 : 1,031,203 = 1,031,203 : x
  2. Step 2: Convert to fraction form
    681,180/1,031,203 = 1,031,203/x
  3. Step 3: Cross multiply
    681,180x = 1,031,203 × 1,031,203
  4. Step 4: Simplify right side
    681,180x = 1,063,379,627,209
  5. Step 5: Solve for x
    x = 1,063,379,627,209/681,180
  6. Step 6: Final answer
    x = 1,561,084.63

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.