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Finding the Third Proportional to 447,397 and 946,615

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Solution

The third proportional to 447,397 and 946,615 is: 2,002,874.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,397 : 946,615 = 946,615 : x
  2. Step 2: Convert to fraction form
    447,397/946,615 = 946,615/x
  3. Step 3: Cross multiply
    447,397x = 946,615 × 946,615
  4. Step 4: Simplify right side
    447,397x = 896,079,958,225
  5. Step 5: Solve for x
    x = 896,079,958,225/447,397
  6. Step 6: Final answer
    x = 2,002,874.31

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.