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Finding the Third Proportional to 682,938 and 1,002,258

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Solution

The third proportional to 682,938 and 1,002,258 is: 1,470,881.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,938 : 1,002,258 = 1,002,258 : x
  2. Step 2: Convert to fraction form
    682,938/1,002,258 = 1,002,258/x
  3. Step 3: Cross multiply
    682,938x = 1,002,258 × 1,002,258
  4. Step 4: Simplify right side
    682,938x = 1,004,521,098,564
  5. Step 5: Solve for x
    x = 1,004,521,098,564/682,938
  6. Step 6: Final answer
    x = 1,470,881.83

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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.