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Finding the Third Proportional to 681,976 and 1,069,900

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Solution

The third proportional to 681,976 and 1,069,900 is: 1,678,484.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,976 : 1,069,900 = 1,069,900 : x
  2. Step 2: Convert to fraction form
    681,976/1,069,900 = 1,069,900/x
  3. Step 3: Cross multiply
    681,976x = 1,069,900 × 1,069,900
  4. Step 4: Simplify right side
    681,976x = 1,144,686,010,000
  5. Step 5: Solve for x
    x = 1,144,686,010,000/681,976
  6. Step 6: Final answer
    x = 1,678,484.30

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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.