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Finding the Third Proportional to 436,694 and 925,874

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Solution

The third proportional to 436,694 and 925,874 is: 1,963,028.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,694 : 925,874 = 925,874 : x
  2. Step 2: Convert to fraction form
    436,694/925,874 = 925,874/x
  3. Step 3: Cross multiply
    436,694x = 925,874 × 925,874
  4. Step 4: Simplify right side
    436,694x = 857,242,663,876
  5. Step 5: Solve for x
    x = 857,242,663,876/436,694
  6. Step 6: Final answer
    x = 1,963,028.26

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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.