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Finding the Third Proportional to 436,728 and 925,950

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Solution

The third proportional to 436,728 and 925,950 is: 1,963,197.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,728 : 925,950 = 925,950 : x
  2. Step 2: Convert to fraction form
    436,728/925,950 = 925,950/x
  3. Step 3: Cross multiply
    436,728x = 925,950 × 925,950
  4. Step 4: Simplify right side
    436,728x = 857,383,402,500
  5. Step 5: Solve for x
    x = 857,383,402,500/436,728
  6. Step 6: Final answer
    x = 1,963,197.69

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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.