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Finding the Third Proportional to 2,546,400 and 5,540,640

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Solution

The third proportional to 2,546,400 and 5,540,640 is: 12,055,722.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,546,400 : 5,540,640 = 5,540,640 : x
  2. Step 2: Convert to fraction form
    2,546,400/5,540,640 = 5,540,640/x
  3. Step 3: Cross multiply
    2,546,400x = 5,540,640 × 5,540,640
  4. Step 4: Simplify right side
    2,546,400x = 30,698,691,609,600
  5. Step 5: Solve for x
    x = 30,698,691,609,600/2,546,400
  6. Step 6: Final answer
    x = 12,055,722.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.