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Finding the Third Proportional to 4,097,600.79 and 5,919,816.02

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Solution

The third proportional to 4,097,600.79 and 5,919,816.02 is: 8,552,375.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,097,600.79 : 5,919,816.02 = 5,919,816.02 : x
  2. Step 2: Convert to fraction form
    4,097,600.79/5,919,816.02 = 5,919,816.02/x
  3. Step 3: Cross multiply
    4,097,600.79x = 5,919,816.02 × 5,919,816.02
  4. Step 4: Simplify right side
    4,097,600.79x = 35,044,221,751,348.55
  5. Step 5: Solve for x
    x = 35,044,221,751,348.55/4,097,600.79
  6. Step 6: Final answer
    x = 8,552,375.78

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.