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Finding the Third Proportional to 682,989 and 1,002,330

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Solution

The third proportional to 682,989 and 1,002,330 is: 1,470,983.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,989 : 1,002,330 = 1,002,330 : x
  2. Step 2: Convert to fraction form
    682,989/1,002,330 = 1,002,330/x
  3. Step 3: Cross multiply
    682,989x = 1,002,330 × 1,002,330
  4. Step 4: Simplify right side
    682,989x = 1,004,665,428,900
  5. Step 5: Solve for x
    x = 1,004,665,428,900/682,989
  6. Step 6: Final answer
    x = 1,470,983.32

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Why These Related Problems?

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