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Finding the Third Proportional to 447,954.94 and 974,641.69

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Solution

The third proportional to 447,954.94 and 974,641.69 is: 2,120,584.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,954.94 : 974,641.69 = 974,641.69 : x
  2. Step 2: Convert to fraction form
    447,954.94/974,641.69 = 974,641.69/x
  3. Step 3: Cross multiply
    447,954.94x = 974,641.69 × 974,641.69
  4. Step 4: Simplify right side
    447,954.94x = 949,926,419,012.85
  5. Step 5: Solve for x
    x = 949,926,419,012.85/447,954.94
  6. Step 6: Final answer
    x = 2,120,584.77

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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.