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Finding the Third Proportional to 454,978 and 984,571

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Solution

The third proportional to 454,978 and 984,571 is: 2,130,608.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    454,978 : 984,571 = 984,571 : x
  2. Step 2: Convert to fraction form
    454,978/984,571 = 984,571/x
  3. Step 3: Cross multiply
    454,978x = 984,571 × 984,571
  4. Step 4: Simplify right side
    454,978x = 969,380,054,041
  5. Step 5: Solve for x
    x = 969,380,054,041/454,978
  6. Step 6: Final answer
    x = 2,130,608.63

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.