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Finding the Third Proportional to 475,781 and 998,269

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Solution

The third proportional to 475,781 and 998,269 is: 2,094,537.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,781 : 998,269 = 998,269 : x
  2. Step 2: Convert to fraction form
    475,781/998,269 = 998,269/x
  3. Step 3: Cross multiply
    475,781x = 998,269 × 998,269
  4. Step 4: Simplify right side
    475,781x = 996,540,996,361
  5. Step 5: Solve for x
    x = 996,540,996,361/475,781
  6. Step 6: Final answer
    x = 2,094,537.18

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.