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Finding the Third Proportional to 558,748.13 and 1,206,813.94

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Solution

The third proportional to 558,748.13 and 1,206,813.94 is: 2,606,540.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    558,748.13 : 1,206,813.94 = 1,206,813.94 : x
  2. Step 2: Convert to fraction form
    558,748.13/1,206,813.94 = 1,206,813.94/x
  3. Step 3: Cross multiply
    558,748.13x = 1,206,813.94 × 1,206,813.94
  4. Step 4: Simplify right side
    558,748.13x = 1,456,399,879,744.25
  5. Step 5: Solve for x
    x = 1,456,399,879,744.25/558,748.13
  6. Step 6: Final answer
    x = 2,606,540.97

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.