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Finding the Third Proportional to 412,330 and 894,632

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Solution

The third proportional to 412,330 and 894,632 is: 1,941,082.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,330 : 894,632 = 894,632 : x
  2. Step 2: Convert to fraction form
    412,330/894,632 = 894,632/x
  3. Step 3: Cross multiply
    412,330x = 894,632 × 894,632
  4. Step 4: Simplify right side
    412,330x = 800,366,415,424
  5. Step 5: Solve for x
    x = 800,366,415,424/412,330
  6. Step 6: Final answer
    x = 1,941,082.18

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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.