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Finding the Third Proportional to 405,171 and 888,096

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Solution

The third proportional to 405,171 and 888,096 is: 1,946,621.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,171 : 888,096 = 888,096 : x
  2. Step 2: Convert to fraction form
    405,171/888,096 = 888,096/x
  3. Step 3: Cross multiply
    405,171x = 888,096 × 888,096
  4. Step 4: Simplify right side
    405,171x = 788,714,505,216
  5. Step 5: Solve for x
    x = 788,714,505,216/405,171
  6. Step 6: Final answer
    x = 1,946,621.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.