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Finding the Third Proportional to 465,802 and 998,084

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Solution

The third proportional to 465,802 and 998,084 is: 2,138,616.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,802 : 998,084 = 998,084 : x
  2. Step 2: Convert to fraction form
    465,802/998,084 = 998,084/x
  3. Step 3: Cross multiply
    465,802x = 998,084 × 998,084
  4. Step 4: Simplify right side
    465,802x = 996,171,671,056
  5. Step 5: Solve for x
    x = 996,171,671,056/465,802
  6. Step 6: Final answer
    x = 2,138,616.13

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.