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Finding the Third Proportional to 447,785 and 946,110

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Solution

The third proportional to 447,785 and 946,110 is: 1,999,004.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,785 : 946,110 = 946,110 : x
  2. Step 2: Convert to fraction form
    447,785/946,110 = 946,110/x
  3. Step 3: Cross multiply
    447,785x = 946,110 × 946,110
  4. Step 4: Simplify right side
    447,785x = 895,124,132,100
  5. Step 5: Solve for x
    x = 895,124,132,100/447,785
  6. Step 6: Final answer
    x = 1,999,004.28

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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.