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Finding the Third Proportional to 681,724 and 1,067,082

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Solution

The third proportional to 681,724 and 1,067,082 is: 1,670,271.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,724 : 1,067,082 = 1,067,082 : x
  2. Step 2: Convert to fraction form
    681,724/1,067,082 = 1,067,082/x
  3. Step 3: Cross multiply
    681,724x = 1,067,082 × 1,067,082
  4. Step 4: Simplify right side
    681,724x = 1,138,663,994,724
  5. Step 5: Solve for x
    x = 1,138,663,994,724/681,724
  6. Step 6: Final answer
    x = 1,670,271.25

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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.