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Finding the Third Proportional to 447,788.25 and 946,117.13

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Solution

The third proportional to 447,788.25 and 946,117.13 is: 1,999,019.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447,788.25 : 946,117.13 = 946,117.13 : x
  2. Step 2: Convert to fraction form
    447,788.25/946,117.13 = 946,117.13/x
  3. Step 3: Cross multiply
    447,788.25x = 946,117.13 × 946,117.13
  4. Step 4: Simplify right side
    447,788.25x = 895,137,614,218.27
  5. Step 5: Solve for x
    x = 895,137,614,218.27/447,788.25
  6. Step 6: Final answer
    x = 1,999,019.88

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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.