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Finding the Third Proportional to 408,192 and 886,440

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Solution

The third proportional to 408,192 and 886,440 is: 1,925,015.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    408,192 : 886,440 = 886,440 : x
  2. Step 2: Convert to fraction form
    408,192/886,440 = 886,440/x
  3. Step 3: Cross multiply
    408,192x = 886,440 × 886,440
  4. Step 4: Simplify right side
    408,192x = 785,775,873,600
  5. Step 5: Solve for x
    x = 785,775,873,600/408,192
  6. Step 6: Final answer
    x = 1,925,015.37

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