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Finding the Third Proportional to 683,992 and 1,022,160

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Solution

The third proportional to 683,992 and 1,022,160 is: 1,527,519.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,992 : 1,022,160 = 1,022,160 : x
  2. Step 2: Convert to fraction form
    683,992/1,022,160 = 1,022,160/x
  3. Step 3: Cross multiply
    683,992x = 1,022,160 × 1,022,160
  4. Step 4: Simplify right side
    683,992x = 1,044,811,065,600
  5. Step 5: Solve for x
    x = 1,044,811,065,600/683,992
  6. Step 6: Final answer
    x = 1,527,519.42

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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.