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Finding the Third Proportional to 408,104 and 886,100

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Solution

The third proportional to 408,104 and 886,100 is: 1,923,953.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,104 : 886,100 = 886,100 : x
  2. Step 2: Convert to fraction form
    408,104/886,100 = 886,100/x
  3. Step 3: Cross multiply
    408,104x = 886,100 × 886,100
  4. Step 4: Simplify right side
    408,104x = 785,173,210,000
  5. Step 5: Solve for x
    x = 785,173,210,000/408,104
  6. Step 6: Final answer
    x = 1,923,953.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.