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Finding the Third Proportional to 411,270 and 990,766

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Solution

The third proportional to 411,270 and 990,766 is: 2,386,795.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    411,270 : 990,766 = 990,766 : x
  2. Step 2: Convert to fraction form
    411,270/990,766 = 990,766/x
  3. Step 3: Cross multiply
    411,270x = 990,766 × 990,766
  4. Step 4: Simplify right side
    411,270x = 981,617,266,756
  5. Step 5: Solve for x
    x = 981,617,266,756/411,270
  6. Step 6: Final answer
    x = 2,386,795.21

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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.