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Finding the Third Proportional to 561,153.38 and 1,162,212.75

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Solution

The third proportional to 561,153.38 and 1,162,212.75 is: 2,407,075.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,153.38 : 1,162,212.75 = 1,162,212.75 : x
  2. Step 2: Convert to fraction form
    561,153.38/1,162,212.75 = 1,162,212.75/x
  3. Step 3: Cross multiply
    561,153.38x = 1,162,212.75 × 1,162,212.75
  4. Step 4: Simplify right side
    561,153.38x = 1,350,738,476,262.56
  5. Step 5: Solve for x
    x = 1,350,738,476,262.56/561,153.38
  6. Step 6: Final answer
    x = 2,407,075.39

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.