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Finding the Third Proportional to 411,266 and 990,756

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Solution

The third proportional to 411,266 and 990,756 is: 2,386,770.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,266 : 990,756 = 990,756 : x
  2. Step 2: Convert to fraction form
    411,266/990,756 = 990,756/x
  3. Step 3: Cross multiply
    411,266x = 990,756 × 990,756
  4. Step 4: Simplify right side
    411,266x = 981,597,451,536
  5. Step 5: Solve for x
    x = 981,597,451,536/411,266
  6. Step 6: Final answer
    x = 2,386,770.24

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.