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Finding the Third Proportional to 683,017 and 1,002,396

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Solution

The third proportional to 683,017 and 1,002,396 is: 1,471,116.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    683,017 : 1,002,396 = 1,002,396 : x
  2. Step 2: Convert to fraction form
    683,017/1,002,396 = 1,002,396/x
  3. Step 3: Cross multiply
    683,017x = 1,002,396 × 1,002,396
  4. Step 4: Simplify right side
    683,017x = 1,004,797,740,816
  5. Step 5: Solve for x
    x = 1,004,797,740,816/683,017
  6. Step 6: Final answer
    x = 1,471,116.74

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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.