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Finding the Third Proportional to 681,720 and 1,067,076

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Solution

The third proportional to 681,720 and 1,067,076 is: 1,670,262.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,720 : 1,067,076 = 1,067,076 : x
  2. Step 2: Convert to fraction form
    681,720/1,067,076 = 1,067,076/x
  3. Step 3: Cross multiply
    681,720x = 1,067,076 × 1,067,076
  4. Step 4: Simplify right side
    681,720x = 1,138,651,189,776
  5. Step 5: Solve for x
    x = 1,138,651,189,776/681,720
  6. Step 6: Final answer
    x = 1,670,262.26

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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.