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Finding the Third Proportional to 447,950 and 974,629

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Solution

The third proportional to 447,950 and 974,629 is: 2,120,552.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,950 : 974,629 = 974,629 : x
  2. Step 2: Convert to fraction form
    447,950/974,629 = 974,629/x
  3. Step 3: Cross multiply
    447,950x = 974,629 × 974,629
  4. Step 4: Simplify right side
    447,950x = 949,901,687,641
  5. Step 5: Solve for x
    x = 949,901,687,641/447,950
  6. Step 6: Final answer
    x = 2,120,552.94

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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.