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Finding the Third Proportional to 683,997 and 1,022,167

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Solution

The third proportional to 683,997 and 1,022,167 is: 1,527,529.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,997 : 1,022,167 = 1,022,167 : x
  2. Step 2: Convert to fraction form
    683,997/1,022,167 = 1,022,167/x
  3. Step 3: Cross multiply
    683,997x = 1,022,167 × 1,022,167
  4. Step 4: Simplify right side
    683,997x = 1,044,825,375,889
  5. Step 5: Solve for x
    x = 1,044,825,375,889/683,997
  6. Step 6: Final answer
    x = 1,527,529.18

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.