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Finding the Third Proportional to 681,224 and 1,031,268

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Solution

The third proportional to 681,224 and 1,031,268 is: 1,561,180.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,224 : 1,031,268 = 1,031,268 : x
  2. Step 2: Convert to fraction form
    681,224/1,031,268 = 1,031,268/x
  3. Step 3: Cross multiply
    681,224x = 1,031,268 × 1,031,268
  4. Step 4: Simplify right side
    681,224x = 1,063,513,687,824
  5. Step 5: Solve for x
    x = 1,063,513,687,824/681,224
  6. Step 6: Final answer
    x = 1,561,180.59

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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.