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Finding the Third Proportional to 681,696 and 1,036,707

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Solution

The third proportional to 681,696 and 1,036,707 is: 1,576,599.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,696 : 1,036,707 = 1,036,707 : x
  2. Step 2: Convert to fraction form
    681,696/1,036,707 = 1,036,707/x
  3. Step 3: Cross multiply
    681,696x = 1,036,707 × 1,036,707
  4. Step 4: Simplify right side
    681,696x = 1,074,761,403,849
  5. Step 5: Solve for x
    x = 1,074,761,403,849/681,696
  6. Step 6: Final answer
    x = 1,576,599.25

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.