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Finding the Third Proportional to 619,161 and 855,544.50

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Solution

The third proportional to 619,161 and 855,544.50 is: 1,182,174.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    619,161 : 855,544.50 = 855,544.50 : x
  2. Step 2: Convert to fraction form
    619,161/855,544.50 = 855,544.50/x
  3. Step 3: Cross multiply
    619,161x = 855,544.50 × 855,544.50
  4. Step 4: Simplify right side
    619,161x = 731,956,391,480.25
  5. Step 5: Solve for x
    x = 731,956,391,480.25/619,161
  6. Step 6: Final answer
    x = 1,182,174.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.