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Finding the Third Proportional to 408,106 and 886,104

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Solution

The third proportional to 408,106 and 886,104 is: 1,923,961.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,106 : 886,104 = 886,104 : x
  2. Step 2: Convert to fraction form
    408,106/886,104 = 886,104/x
  3. Step 3: Cross multiply
    408,106x = 886,104 × 886,104
  4. Step 4: Simplify right side
    408,106x = 785,180,298,816
  5. Step 5: Solve for x
    x = 785,180,298,816/408,106
  6. Step 6: Final answer
    x = 1,923,961.66

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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.