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Finding the Third Proportional to 447,789 and 946,116

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Solution

The third proportional to 447,789 and 946,116 is: 1,999,011.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,789 : 946,116 = 946,116 : x
  2. Step 2: Convert to fraction form
    447,789/946,116 = 946,116/x
  3. Step 3: Cross multiply
    447,789x = 946,116 × 946,116
  4. Step 4: Simplify right side
    447,789x = 895,135,485,456
  5. Step 5: Solve for x
    x = 895,135,485,456/447,789
  6. Step 6: Final answer
    x = 1,999,011.78

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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.