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Finding the Third Proportional to 436,223 and 925,177

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Solution

The third proportional to 436,223 and 925,177 is: 1,962,190.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,223 : 925,177 = 925,177 : x
  2. Step 2: Convert to fraction form
    436,223/925,177 = 925,177/x
  3. Step 3: Cross multiply
    436,223x = 925,177 × 925,177
  4. Step 4: Simplify right side
    436,223x = 855,952,481,329
  5. Step 5: Solve for x
    x = 855,952,481,329/436,223
  6. Step 6: Final answer
    x = 1,962,190.17

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.