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Finding the Third Proportional to 681,569 and 1,069,267

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Solution

The third proportional to 681,569 and 1,069,267 is: 1,677,499.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,569 : 1,069,267 = 1,069,267 : x
  2. Step 2: Convert to fraction form
    681,569/1,069,267 = 1,069,267/x
  3. Step 3: Cross multiply
    681,569x = 1,069,267 × 1,069,267
  4. Step 4: Simplify right side
    681,569x = 1,143,331,917,289
  5. Step 5: Solve for x
    x = 1,143,331,917,289/681,569
  6. Step 6: Final answer
    x = 1,677,499.88

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.