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Finding the Third Proportional to 578,496.94 and 1,245,891.38

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Solution

The third proportional to 578,496.94 and 1,245,891.38 is: 2,683,238.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,496.94 : 1,245,891.38 = 1,245,891.38 : x
  2. Step 2: Convert to fraction form
    578,496.94/1,245,891.38 = 1,245,891.38/x
  3. Step 3: Cross multiply
    578,496.94x = 1,245,891.38 × 1,245,891.38
  4. Step 4: Simplify right side
    578,496.94x = 1,552,245,318,299.39
  5. Step 5: Solve for x
    x = 1,552,245,318,299.39/578,496.94
  6. Step 6: Final answer
    x = 2,683,238.61

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.