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Finding the Third Proportional to 407,190 and 886,668

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Solution

The third proportional to 407,190 and 886,668 is: 1,930,745.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    407,190 : 886,668 = 886,668 : x
  2. Step 2: Convert to fraction form
    407,190/886,668 = 886,668/x
  3. Step 3: Cross multiply
    407,190x = 886,668 × 886,668
  4. Step 4: Simplify right side
    407,190x = 786,180,142,224
  5. Step 5: Solve for x
    x = 786,180,142,224/407,190
  6. Step 6: Final answer
    x = 1,930,745.21

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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.