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Finding the Third Proportional to 683,993 and 1,022,161

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Solution

The third proportional to 683,993 and 1,022,161 is: 1,527,520.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,993 : 1,022,161 = 1,022,161 : x
  2. Step 2: Convert to fraction form
    683,993/1,022,161 = 1,022,161/x
  3. Step 3: Cross multiply
    683,993x = 1,022,161 × 1,022,161
  4. Step 4: Simplify right side
    683,993x = 1,044,813,109,921
  5. Step 5: Solve for x
    x = 1,044,813,109,921/683,993
  6. Step 6: Final answer
    x = 1,527,520.18

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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.