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Finding the Third Proportional to 2,467,916 and 3,728,120

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Solution

The third proportional to 2,467,916 and 3,728,120 is: 5,631,828.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,467,916 : 3,728,120 = 3,728,120 : x
  2. Step 2: Convert to fraction form
    2,467,916/3,728,120 = 3,728,120/x
  3. Step 3: Cross multiply
    2,467,916x = 3,728,120 × 3,728,120
  4. Step 4: Simplify right side
    2,467,916x = 13,898,878,734,400
  5. Step 5: Solve for x
    x = 13,898,878,734,400/2,467,916
  6. Step 6: Final answer
    x = 5,631,828.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.