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Finding the Third Proportional to 2,438,640 and 5,647,158

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Solution

The third proportional to 2,438,640 and 5,647,158 is: 13,077,122.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,438,640 : 5,647,158 = 5,647,158 : x
  2. Step 2: Convert to fraction form
    2,438,640/5,647,158 = 5,647,158/x
  3. Step 3: Cross multiply
    2,438,640x = 5,647,158 × 5,647,158
  4. Step 4: Simplify right side
    2,438,640x = 31,890,393,476,964
  5. Step 5: Solve for x
    x = 31,890,393,476,964/2,438,640
  6. Step 6: Final answer
    x = 13,077,122.28

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These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.