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Finding the Third Proportional to 465,802 and 998,004

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Solution

The third proportional to 465,802 and 998,004 is: 2,138,273.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,802 : 998,004 = 998,004 : x
  2. Step 2: Convert to fraction form
    465,802/998,004 = 998,004/x
  3. Step 3: Cross multiply
    465,802x = 998,004 × 998,004
  4. Step 4: Simplify right side
    465,802x = 996,011,984,016
  5. Step 5: Solve for x
    x = 996,011,984,016/465,802
  6. Step 6: Final answer
    x = 2,138,273.31

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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.