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Finding the Third Proportional to 405,169 and 888,092

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Solution

The third proportional to 405,169 and 888,092 is: 1,946,613.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,169 : 888,092 = 888,092 : x
  2. Step 2: Convert to fraction form
    405,169/888,092 = 888,092/x
  3. Step 3: Cross multiply
    405,169x = 888,092 × 888,092
  4. Step 4: Simplify right side
    405,169x = 788,707,400,464
  5. Step 5: Solve for x
    x = 788,707,400,464/405,169
  6. Step 6: Final answer
    x = 1,946,613.39

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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.