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Finding the Third Proportional to 600,205.50 and 1,416,843

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Solution

The third proportional to 600,205.50 and 1,416,843 is: 3,344,594.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    600,205.50 : 1,416,843 = 1,416,843 : x
  2. Step 2: Convert to fraction form
    600,205.50/1,416,843 = 1,416,843/x
  3. Step 3: Cross multiply
    600,205.50x = 1,416,843 × 1,416,843
  4. Step 4: Simplify right side
    600,205.50x = 2,007,444,086,649
  5. Step 5: Solve for x
    x = 2,007,444,086,649/600,205.50
  6. Step 6: Final answer
    x = 3,344,594.62

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.