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Finding the Third Proportional to 447,781 and 946,102

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Solution

The third proportional to 447,781 and 946,102 is: 1,998,988.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,781 : 946,102 = 946,102 : x
  2. Step 2: Convert to fraction form
    447,781/946,102 = 946,102/x
  3. Step 3: Cross multiply
    447,781x = 946,102 × 946,102
  4. Step 4: Simplify right side
    447,781x = 895,108,994,404
  5. Step 5: Solve for x
    x = 895,108,994,404/447,781
  6. Step 6: Final answer
    x = 1,998,988.33

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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.