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Finding the Third Proportional to 681,918 and 1,022,877

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Solution

The third proportional to 681,918 and 1,022,877 is: 1,534,315.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,918 : 1,022,877 = 1,022,877 : x
  2. Step 2: Convert to fraction form
    681,918/1,022,877 = 1,022,877/x
  3. Step 3: Cross multiply
    681,918x = 1,022,877 × 1,022,877
  4. Step 4: Simplify right side
    681,918x = 1,046,277,357,129
  5. Step 5: Solve for x
    x = 1,046,277,357,129/681,918
  6. Step 6: Final answer
    x = 1,534,315.50

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Why These Related Problems?

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