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Finding the Third Proportional to 465,810 and 998,028

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Solution

The third proportional to 465,810 and 998,028 is: 2,138,339.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,810 : 998,028 = 998,028 : x
  2. Step 2: Convert to fraction form
    465,810/998,028 = 998,028/x
  3. Step 3: Cross multiply
    465,810x = 998,028 × 998,028
  4. Step 4: Simplify right side
    465,810x = 996,059,888,784
  5. Step 5: Solve for x
    x = 996,059,888,784/465,810
  6. Step 6: Final answer
    x = 2,138,339.43

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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.