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Finding the Third Proportional to 544,848 and 818,016

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Solution

The third proportional to 544,848 and 818,016 is: 1,228,141.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,848 : 818,016 = 818,016 : x
  2. Step 2: Convert to fraction form
    544,848/818,016 = 818,016/x
  3. Step 3: Cross multiply
    544,848x = 818,016 × 818,016
  4. Step 4: Simplify right side
    544,848x = 669,150,176,256
  5. Step 5: Solve for x
    x = 669,150,176,256/544,848
  6. Step 6: Final answer
    x = 1,228,141.02

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.