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Finding the Third Proportional to 453,248 and 998,016

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Solution

The third proportional to 453,248 and 998,016 is: 2,197,551.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,248 : 998,016 = 998,016 : x
  2. Step 2: Convert to fraction form
    453,248/998,016 = 998,016/x
  3. Step 3: Cross multiply
    453,248x = 998,016 × 998,016
  4. Step 4: Simplify right side
    453,248x = 996,035,936,256
  5. Step 5: Solve for x
    x = 996,035,936,256/453,248
  6. Step 6: Final answer
    x = 2,197,551.75

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.