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Finding the Third Proportional to 407,198 and 886,682

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Solution

The third proportional to 407,198 and 886,682 is: 1,930,768.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,198 : 886,682 = 886,682 : x
  2. Step 2: Convert to fraction form
    407,198/886,682 = 886,682/x
  3. Step 3: Cross multiply
    407,198x = 886,682 × 886,682
  4. Step 4: Simplify right side
    407,198x = 786,204,969,124
  5. Step 5: Solve for x
    x = 786,204,969,124/407,198
  6. Step 6: Final answer
    x = 1,930,768.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.