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Finding the Third Proportional to 1,468,041.89 and 2,245,940.16

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Solution

The third proportional to 1,468,041.89 and 2,245,940.16 is: 3,436,037.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,468,041.89 : 2,245,940.16 = 2,245,940.16 : x
  2. Step 2: Convert to fraction form
    1,468,041.89/2,245,940.16 = 2,245,940.16/x
  3. Step 3: Cross multiply
    1,468,041.89x = 2,245,940.16 × 2,245,940.16
  4. Step 4: Simplify right side
    1,468,041.89x = 5,044,247,185,456.27
  5. Step 5: Solve for x
    x = 5,044,247,185,456.27/1,468,041.89
  6. Step 6: Final answer
    x = 3,436,037.63

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.