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Finding the Third Proportional to 682,992 and 1,002,344

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Solution

The third proportional to 682,992 and 1,002,344 is: 1,471,017.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,992 : 1,002,344 = 1,002,344 : x
  2. Step 2: Convert to fraction form
    682,992/1,002,344 = 1,002,344/x
  3. Step 3: Cross multiply
    682,992x = 1,002,344 × 1,002,344
  4. Step 4: Simplify right side
    682,992x = 1,004,693,494,336
  5. Step 5: Solve for x
    x = 1,004,693,494,336/682,992
  6. Step 6: Final answer
    x = 1,471,017.95

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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.