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Finding the Third Proportional to 447,951.94 and 974,636.44

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Solution

The third proportional to 447,951.94 and 974,636.44 is: 2,120,576.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,951.94 : 974,636.44 = 974,636.44 : x
  2. Step 2: Convert to fraction form
    447,951.94/974,636.44 = 974,636.44/x
  3. Step 3: Cross multiply
    447,951.94x = 974,636.44 × 974,636.44
  4. Step 4: Simplify right side
    447,951.94x = 949,916,185,302.69
  5. Step 5: Solve for x
    x = 949,916,185,302.69/447,951.94
  6. Step 6: Final answer
    x = 2,120,576.13

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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.