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Finding the Third Proportional to 465,892 and 998,224

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Solution

The third proportional to 465,892 and 998,224 is: 2,138,802.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    465,892 : 998,224 = 998,224 : x
  2. Step 2: Convert to fraction form
    465,892/998,224 = 998,224/x
  3. Step 3: Cross multiply
    465,892x = 998,224 × 998,224
  4. Step 4: Simplify right side
    465,892x = 996,451,154,176
  5. Step 5: Solve for x
    x = 996,451,154,176/465,892
  6. Step 6: Final answer
    x = 2,138,802.89

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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.