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Finding the Third Proportional to 465,895 and 998,230

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Solution

The third proportional to 465,895 and 998,230 is: 2,138,814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,895 : 998,230 = 998,230 : x
  2. Step 2: Convert to fraction form
    465,895/998,230 = 998,230/x
  3. Step 3: Cross multiply
    465,895x = 998,230 × 998,230
  4. Step 4: Simplify right side
    465,895x = 996,463,132,900
  5. Step 5: Solve for x
    x = 996,463,132,900/465,895
  6. Step 6: Final answer
    x = 2,138,814.83

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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.