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Finding the Third Proportional to 447,870 and 984,300

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Solution

The third proportional to 447,870 and 984,300 is: 2,163,231.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,870 : 984,300 = 984,300 : x
  2. Step 2: Convert to fraction form
    447,870/984,300 = 984,300/x
  3. Step 3: Cross multiply
    447,870x = 984,300 × 984,300
  4. Step 4: Simplify right side
    447,870x = 968,846,490,000
  5. Step 5: Solve for x
    x = 968,846,490,000/447,870
  6. Step 6: Final answer
    x = 2,163,231.50

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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.