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Finding the Third Proportional to 393,669 and 812,182

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Solution

The third proportional to 393,669 and 812,182 is: 1,675,619.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,669 : 812,182 = 812,182 : x
  2. Step 2: Convert to fraction form
    393,669/812,182 = 812,182/x
  3. Step 3: Cross multiply
    393,669x = 812,182 × 812,182
  4. Step 4: Simplify right side
    393,669x = 659,639,601,124
  5. Step 5: Solve for x
    x = 659,639,601,124/393,669
  6. Step 6: Final answer
    x = 1,675,619.88

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.