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Finding the Third Proportional to 683,991 and 1,022,158

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Solution

The third proportional to 683,991 and 1,022,158 is: 1,527,515.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,991 : 1,022,158 = 1,022,158 : x
  2. Step 2: Convert to fraction form
    683,991/1,022,158 = 1,022,158/x
  3. Step 3: Cross multiply
    683,991x = 1,022,158 × 1,022,158
  4. Step 4: Simplify right side
    683,991x = 1,044,806,976,964
  5. Step 5: Solve for x
    x = 1,044,806,976,964/683,991
  6. Step 6: Final answer
    x = 1,527,515.68

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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.