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Finding the Third Proportional to 491,596 and 741,906

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Solution

The third proportional to 491,596 and 741,906 is: 1,119,668.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    491,596 : 741,906 = 741,906 : x
  2. Step 2: Convert to fraction form
    491,596/741,906 = 741,906/x
  3. Step 3: Cross multiply
    491,596x = 741,906 × 741,906
  4. Step 4: Simplify right side
    491,596x = 550,424,512,836
  5. Step 5: Solve for x
    x = 550,424,512,836/491,596
  6. Step 6: Final answer
    x = 1,119,668.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.