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Finding the Third Proportional to 407,538 and 886,734

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Solution

The third proportional to 407,538 and 886,734 is: 1,929,383.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,538 : 886,734 = 886,734 : x
  2. Step 2: Convert to fraction form
    407,538/886,734 = 886,734/x
  3. Step 3: Cross multiply
    407,538x = 886,734 × 886,734
  4. Step 4: Simplify right side
    407,538x = 786,297,186,756
  5. Step 5: Solve for x
    x = 786,297,186,756/407,538
  6. Step 6: Final answer
    x = 1,929,383.73

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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.