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Finding the Third Proportional to 1,796,869.50 and 3,896,916

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Solution

The third proportional to 1,796,869.50 and 3,896,916 is: 8,451,339.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,796,869.50 : 3,896,916 = 3,896,916 : x
  2. Step 2: Convert to fraction form
    1,796,869.50/3,896,916 = 3,896,916/x
  3. Step 3: Cross multiply
    1,796,869.50x = 3,896,916 × 3,896,916
  4. Step 4: Simplify right side
    1,796,869.50x = 15,185,954,311,056
  5. Step 5: Solve for x
    x = 15,185,954,311,056/1,796,869.50
  6. Step 6: Final answer
    x = 8,451,339.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.