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Finding the Third Proportional to 436,807.69 and 894,786.75

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Solution

The third proportional to 436,807.69 and 894,786.75 is: 1,832,942.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,807.69 : 894,786.75 = 894,786.75 : x
  2. Step 2: Convert to fraction form
    436,807.69/894,786.75 = 894,786.75/x
  3. Step 3: Cross multiply
    436,807.69x = 894,786.75 × 894,786.75
  4. Step 4: Simplify right side
    436,807.69x = 800,643,327,975.56
  5. Step 5: Solve for x
    x = 800,643,327,975.56/436,807.69
  6. Step 6: Final answer
    x = 1,832,942.39

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.