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Finding the Third Proportional to 436,689 and 925,866

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Solution

The third proportional to 436,689 and 925,866 is: 1,963,016.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,689 : 925,866 = 925,866 : x
  2. Step 2: Convert to fraction form
    436,689/925,866 = 925,866/x
  3. Step 3: Cross multiply
    436,689x = 925,866 × 925,866
  4. Step 4: Simplify right side
    436,689x = 857,227,849,956
  5. Step 5: Solve for x
    x = 857,227,849,956/436,689
  6. Step 6: Final answer
    x = 1,963,016.82

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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.