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Finding the Third Proportional to 683,350 and 1,002,814

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Solution

The third proportional to 683,350 and 1,002,814 is: 1,471,626.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,350 : 1,002,814 = 1,002,814 : x
  2. Step 2: Convert to fraction form
    683,350/1,002,814 = 1,002,814/x
  3. Step 3: Cross multiply
    683,350x = 1,002,814 × 1,002,814
  4. Step 4: Simplify right side
    683,350x = 1,005,635,918,596
  5. Step 5: Solve for x
    x = 1,005,635,918,596/683,350
  6. Step 6: Final answer
    x = 1,471,626.43

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.