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Finding the Third Proportional to 681,235 and 1,031,285

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Solution

The third proportional to 681,235 and 1,031,285 is: 1,561,206.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,235 : 1,031,285 = 1,031,285 : x
  2. Step 2: Convert to fraction form
    681,235/1,031,285 = 1,031,285/x
  3. Step 3: Cross multiply
    681,235x = 1,031,285 × 1,031,285
  4. Step 4: Simplify right side
    681,235x = 1,063,548,751,225
  5. Step 5: Solve for x
    x = 1,063,548,751,225/681,235
  6. Step 6: Final answer
    x = 1,561,206.85

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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.