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Finding the Third Proportional to 682,976 and 1,002,320

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Solution

The third proportional to 682,976 and 1,002,320 is: 1,470,981.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,976 : 1,002,320 = 1,002,320 : x
  2. Step 2: Convert to fraction form
    682,976/1,002,320 = 1,002,320/x
  3. Step 3: Cross multiply
    682,976x = 1,002,320 × 1,002,320
  4. Step 4: Simplify right side
    682,976x = 1,004,645,382,400
  5. Step 5: Solve for x
    x = 1,004,645,382,400/682,976
  6. Step 6: Final answer
    x = 1,470,981.97

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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.