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Finding the Third Proportional to 447,788 and 946,114

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Solution

The third proportional to 447,788 and 946,114 is: 1,999,007.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,788 : 946,114 = 946,114 : x
  2. Step 2: Convert to fraction form
    447,788/946,114 = 946,114/x
  3. Step 3: Cross multiply
    447,788x = 946,114 × 946,114
  4. Step 4: Simplify right side
    447,788x = 895,131,700,996
  5. Step 5: Solve for x
    x = 895,131,700,996/447,788
  6. Step 6: Final answer
    x = 1,999,007.79

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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.