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Finding the Third Proportional to 447,791 and 946,120

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Solution

The third proportional to 447,791 and 946,120 is: 1,999,019.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,791 : 946,120 = 946,120 : x
  2. Step 2: Convert to fraction form
    447,791/946,120 = 946,120/x
  3. Step 3: Cross multiply
    447,791x = 946,120 × 946,120
  4. Step 4: Simplify right side
    447,791x = 895,143,054,400
  5. Step 5: Solve for x
    x = 895,143,054,400/447,791
  6. Step 6: Final answer
    x = 1,999,019.75

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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.