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Finding the Third Proportional to 465,810 and 998,016

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Solution

The third proportional to 465,810 and 998,016 is: 2,138,288.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,810 : 998,016 = 998,016 : x
  2. Step 2: Convert to fraction form
    465,810/998,016 = 998,016/x
  3. Step 3: Cross multiply
    465,810x = 998,016 × 998,016
  4. Step 4: Simplify right side
    465,810x = 996,035,936,256
  5. Step 5: Solve for x
    x = 996,035,936,256/465,810
  6. Step 6: Final answer
    x = 2,138,288.01

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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.