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Finding the Third Proportional to 447,039 and 969,766.50

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Solution

The third proportional to 447,039 and 969,766.50 is: 2,103,724.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,039 : 969,766.50 = 969,766.50 : x
  2. Step 2: Convert to fraction form
    447,039/969,766.50 = 969,766.50/x
  3. Step 3: Cross multiply
    447,039x = 969,766.50 × 969,766.50
  4. Step 4: Simplify right side
    447,039x = 940,447,064,522.25
  5. Step 5: Solve for x
    x = 940,447,064,522.25/447,039
  6. Step 6: Final answer
    x = 2,103,724.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.