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Finding the Third Proportional to 414,809 and 886,480

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Solution

The third proportional to 414,809 and 886,480 is: 1,894,478.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,809 : 886,480 = 886,480 : x
  2. Step 2: Convert to fraction form
    414,809/886,480 = 886,480/x
  3. Step 3: Cross multiply
    414,809x = 886,480 × 886,480
  4. Step 4: Simplify right side
    414,809x = 785,846,790,400
  5. Step 5: Solve for x
    x = 785,846,790,400/414,809
  6. Step 6: Final answer
    x = 1,894,478.64

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.