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Finding the Third Proportional to 451,968.75 and 984,672

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Solution

The third proportional to 451,968.75 and 984,672 is: 2,145,234.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,968.75 : 984,672 = 984,672 : x
  2. Step 2: Convert to fraction form
    451,968.75/984,672 = 984,672/x
  3. Step 3: Cross multiply
    451,968.75x = 984,672 × 984,672
  4. Step 4: Simplify right side
    451,968.75x = 969,578,947,584
  5. Step 5: Solve for x
    x = 969,578,947,584/451,968.75
  6. Step 6: Final answer
    x = 2,145,234.48

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.