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Finding the Third Proportional to 681,896 and 1,022,844

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Solution

The third proportional to 681,896 and 1,022,844 is: 1,534,266

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,896 : 1,022,844 = 1,022,844 : x
  2. Step 2: Convert to fraction form
    681,896/1,022,844 = 1,022,844/x
  3. Step 3: Cross multiply
    681,896x = 1,022,844 × 1,022,844
  4. Step 4: Simplify right side
    681,896x = 1,046,209,848,336
  5. Step 5: Solve for x
    x = 1,046,209,848,336/681,896
  6. Step 6: Final answer
    x = 1,534,266

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.