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Finding the Third Proportional to 447,890.72 and 974,510.53

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Solution

The third proportional to 447,890.72 and 974,510.53 is: 2,120,318.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,890.72 : 974,510.53 = 974,510.53 : x
  2. Step 2: Convert to fraction form
    447,890.72/974,510.53 = 974,510.53/x
  3. Step 3: Cross multiply
    447,890.72x = 974,510.53 × 974,510.53
  4. Step 4: Simplify right side
    447,890.72x = 949,670,775,517.16
  5. Step 5: Solve for x
    x = 949,670,775,517.16/447,890.72
  6. Step 6: Final answer
    x = 2,120,318.05

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Why These Related Problems?

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