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Finding the Third Proportional to 408,194 and 886,444

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Solution

The third proportional to 408,194 and 886,444 is: 1,925,023.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,194 : 886,444 = 886,444 : x
  2. Step 2: Convert to fraction form
    408,194/886,444 = 886,444/x
  3. Step 3: Cross multiply
    408,194x = 886,444 × 886,444
  4. Step 4: Simplify right side
    408,194x = 785,782,965,136
  5. Step 5: Solve for x
    x = 785,782,965,136/408,194
  6. Step 6: Final answer
    x = 1,925,023.31

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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.