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Finding the Third Proportional to 681,896 and 1,435,684

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Solution

The third proportional to 681,896 and 1,435,684 is: 3,022,731.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,896 : 1,435,684 = 1,435,684 : x
  2. Step 2: Convert to fraction form
    681,896/1,435,684 = 1,435,684/x
  3. Step 3: Cross multiply
    681,896x = 1,435,684 × 1,435,684
  4. Step 4: Simplify right side
    681,896x = 2,061,188,547,856
  5. Step 5: Solve for x
    x = 2,061,188,547,856/681,896
  6. Step 6: Final answer
    x = 3,022,731.54

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.