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Finding the Third Proportional to 465,890 and 998,260

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Solution

The third proportional to 465,890 and 998,260 is: 2,138,966.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,890 : 998,260 = 998,260 : x
  2. Step 2: Convert to fraction form
    465,890/998,260 = 998,260/x
  3. Step 3: Cross multiply
    465,890x = 998,260 × 998,260
  4. Step 4: Simplify right side
    465,890x = 996,523,027,600
  5. Step 5: Solve for x
    x = 996,523,027,600/465,890
  6. Step 6: Final answer
    x = 2,138,966.34

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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.