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Finding the Third Proportional to 447,800 and 946,138

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Solution

The third proportional to 447,800 and 946,138 is: 1,999,055.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,800 : 946,138 = 946,138 : x
  2. Step 2: Convert to fraction form
    447,800/946,138 = 946,138/x
  3. Step 3: Cross multiply
    447,800x = 946,138 × 946,138
  4. Step 4: Simplify right side
    447,800x = 895,177,115,044
  5. Step 5: Solve for x
    x = 895,177,115,044/447,800
  6. Step 6: Final answer
    x = 1,999,055.64

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