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Finding the Third Proportional to 681,233 and 1,031,282

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Solution

The third proportional to 681,233 and 1,031,282 is: 1,561,202.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,233 : 1,031,282 = 1,031,282 : x
  2. Step 2: Convert to fraction form
    681,233/1,031,282 = 1,031,282/x
  3. Step 3: Cross multiply
    681,233x = 1,031,282 × 1,031,282
  4. Step 4: Simplify right side
    681,233x = 1,063,542,563,524
  5. Step 5: Solve for x
    x = 1,063,542,563,524/681,233
  6. Step 6: Final answer
    x = 1,561,202.35

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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.