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Finding the Third Proportional to 2,305,124 and 3,382,916

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Solution

The third proportional to 2,305,124 and 3,382,916 is: 4,964,644.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,124 : 3,382,916 = 3,382,916 : x
  2. Step 2: Convert to fraction form
    2,305,124/3,382,916 = 3,382,916/x
  3. Step 3: Cross multiply
    2,305,124x = 3,382,916 × 3,382,916
  4. Step 4: Simplify right side
    2,305,124x = 11,444,120,663,056
  5. Step 5: Solve for x
    x = 11,444,120,663,056/2,305,124
  6. Step 6: Final answer
    x = 4,964,644.27

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.