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Finding the Third Proportional to 521,105.91 and 1,098,246.09

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Solution

The third proportional to 521,105.91 and 1,098,246.09 is: 2,314,586.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    521,105.91 : 1,098,246.09 = 1,098,246.09 : x
  2. Step 2: Convert to fraction form
    521,105.91/1,098,246.09 = 1,098,246.09/x
  3. Step 3: Cross multiply
    521,105.91x = 1,098,246.09 × 1,098,246.09
  4. Step 4: Simplify right side
    521,105.91x = 1,206,144,482,437.13
  5. Step 5: Solve for x
    x = 1,206,144,482,437.13/521,105.91
  6. Step 6: Final answer
    x = 2,314,586.09

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.