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Finding the Third Proportional to 189,822 and 412,860

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Solution

The third proportional to 189,822 and 412,860 is: 897,964.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    189,822 : 412,860 = 412,860 : x
  2. Step 2: Convert to fraction form
    189,822/412,860 = 412,860/x
  3. Step 3: Cross multiply
    189,822x = 412,860 × 412,860
  4. Step 4: Simplify right side
    189,822x = 170,453,379,600
  5. Step 5: Solve for x
    x = 170,453,379,600/189,822
  6. Step 6: Final answer
    x = 897,964.30

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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.