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Finding the Third Proportional to 412,191 and 894,946

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Solution

The third proportional to 412,191 and 894,946 is: 1,943,100.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,191 : 894,946 = 894,946 : x
  2. Step 2: Convert to fraction form
    412,191/894,946 = 894,946/x
  3. Step 3: Cross multiply
    412,191x = 894,946 × 894,946
  4. Step 4: Simplify right side
    412,191x = 800,928,342,916
  5. Step 5: Solve for x
    x = 800,928,342,916/412,191
  6. Step 6: Final answer
    x = 1,943,100.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.