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Finding the Third Proportional to 2,544,704 and 5,546,656

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Solution

The third proportional to 2,544,704 and 5,546,656 is: 12,089,969.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,544,704 : 5,546,656 = 5,546,656 : x
  2. Step 2: Convert to fraction form
    2,544,704/5,546,656 = 5,546,656/x
  3. Step 3: Cross multiply
    2,544,704x = 5,546,656 × 5,546,656
  4. Step 4: Simplify right side
    2,544,704x = 30,765,392,782,336
  5. Step 5: Solve for x
    x = 30,765,392,782,336/2,544,704
  6. Step 6: Final answer
    x = 12,089,969.12

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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.