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Finding the Third Proportional to 681,696 and 1,067,040

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Solution

The third proportional to 681,696 and 1,067,040 is: 1,670,208.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,696 : 1,067,040 = 1,067,040 : x
  2. Step 2: Convert to fraction form
    681,696/1,067,040 = 1,067,040/x
  3. Step 3: Cross multiply
    681,696x = 1,067,040 × 1,067,040
  4. Step 4: Simplify right side
    681,696x = 1,138,574,361,600
  5. Step 5: Solve for x
    x = 1,138,574,361,600/681,696
  6. Step 6: Final answer
    x = 1,670,208.37

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