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Finding the Third Proportional to 682,940 and 1,002,261

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Solution

The third proportional to 682,940 and 1,002,261 is: 1,470,886.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,940 : 1,002,261 = 1,002,261 : x
  2. Step 2: Convert to fraction form
    682,940/1,002,261 = 1,002,261/x
  3. Step 3: Cross multiply
    682,940x = 1,002,261 × 1,002,261
  4. Step 4: Simplify right side
    682,940x = 1,004,527,112,121
  5. Step 5: Solve for x
    x = 1,004,527,112,121/682,940
  6. Step 6: Final answer
    x = 1,470,886.33

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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.