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Finding the Third Proportional to 436,731 and 925,949

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Solution

The third proportional to 436,731 and 925,949 is: 1,963,179.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,731 : 925,949 = 925,949 : x
  2. Step 2: Convert to fraction form
    436,731/925,949 = 925,949/x
  3. Step 3: Cross multiply
    436,731x = 925,949 × 925,949
  4. Step 4: Simplify right side
    436,731x = 857,381,550,601
  5. Step 5: Solve for x
    x = 857,381,550,601/436,731
  6. Step 6: Final answer
    x = 1,963,179.97

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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.