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Finding the Third Proportional to 447,832 and 946,220

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Solution

The third proportional to 447,832 and 946,220 is: 1,999,259.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,832 : 946,220 = 946,220 : x
  2. Step 2: Convert to fraction form
    447,832/946,220 = 946,220/x
  3. Step 3: Cross multiply
    447,832x = 946,220 × 946,220
  4. Step 4: Simplify right side
    447,832x = 895,332,288,400
  5. Step 5: Solve for x
    x = 895,332,288,400/447,832
  6. Step 6: Final answer
    x = 1,999,259.29

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.