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Finding the Third Proportional to 447,959 and 974,650

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Solution

The third proportional to 447,959 and 974,650 is: 2,120,601.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,959 : 974,650 = 974,650 : x
  2. Step 2: Convert to fraction form
    447,959/974,650 = 974,650/x
  3. Step 3: Cross multiply
    447,959x = 974,650 × 974,650
  4. Step 4: Simplify right side
    447,959x = 949,942,622,500
  5. Step 5: Solve for x
    x = 949,942,622,500/447,959
  6. Step 6: Final answer
    x = 2,120,601.71

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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.