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Finding the Third Proportional to 560,838.38 and 1,223,183.25

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Solution

The third proportional to 560,838.38 and 1,223,183.25 is: 2,667,751.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    560,838.38 : 1,223,183.25 = 1,223,183.25 : x
  2. Step 2: Convert to fraction form
    560,838.38/1,223,183.25 = 1,223,183.25/x
  3. Step 3: Cross multiply
    560,838.38x = 1,223,183.25 × 1,223,183.25
  4. Step 4: Simplify right side
    560,838.38x = 1,496,177,263,080.56
  5. Step 5: Solve for x
    x = 1,496,177,263,080.56/560,838.38
  6. Step 6: Final answer
    x = 2,667,751.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.