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Finding the Third Proportional to 226,106 and 491,092

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Solution

The third proportional to 226,106 and 491,092 is: 1,066,629.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    226,106 : 491,092 = 491,092 : x
  2. Step 2: Convert to fraction form
    226,106/491,092 = 491,092/x
  3. Step 3: Cross multiply
    226,106x = 491,092 × 491,092
  4. Step 4: Simplify right side
    226,106x = 241,171,352,464
  5. Step 5: Solve for x
    x = 241,171,352,464/226,106
  6. Step 6: Final answer
    x = 1,066,629.60

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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.