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Finding the Third Proportional to 436,226 and 925,183

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Solution

The third proportional to 436,226 and 925,183 is: 1,962,202.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,226 : 925,183 = 925,183 : x
  2. Step 2: Convert to fraction form
    436,226/925,183 = 925,183/x
  3. Step 3: Cross multiply
    436,226x = 925,183 × 925,183
  4. Step 4: Simplify right side
    436,226x = 855,963,583,489
  5. Step 5: Solve for x
    x = 855,963,583,489/436,226
  6. Step 6: Final answer
    x = 1,962,202.12

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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.