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Finding the Third Proportional to 500,286.38 and 1,093,991.06

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Solution

The third proportional to 500,286.38 and 1,093,991.06 is: 2,392,262.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    500,286.38 : 1,093,991.06 = 1,093,991.06 : x
  2. Step 2: Convert to fraction form
    500,286.38/1,093,991.06 = 1,093,991.06/x
  3. Step 3: Cross multiply
    500,286.38x = 1,093,991.06 × 1,093,991.06
  4. Step 4: Simplify right side
    500,286.38x = 1,196,816,444,829.88
  5. Step 5: Solve for x
    x = 1,196,816,444,829.88/500,286.38
  6. Step 6: Final answer
    x = 2,392,262.72

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.