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Finding the Third Proportional to 2,257,728 and 3,458,520

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Solution

The third proportional to 2,257,728 and 3,458,520 is: 5,297,963.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,257,728 : 3,458,520 = 3,458,520 : x
  2. Step 2: Convert to fraction form
    2,257,728/3,458,520 = 3,458,520/x
  3. Step 3: Cross multiply
    2,257,728x = 3,458,520 × 3,458,520
  4. Step 4: Simplify right side
    2,257,728x = 11,961,360,590,400
  5. Step 5: Solve for x
    x = 11,961,360,590,400/2,257,728
  6. Step 6: Final answer
    x = 5,297,963.52

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Why These Related Problems?

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