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Finding the Third Proportional to 3,780,799 and 5,741,097

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Solution

The third proportional to 3,780,799 and 5,741,097 is: 8,717,785.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,780,799 : 5,741,097 = 5,741,097 : x
  2. Step 2: Convert to fraction form
    3,780,799/5,741,097 = 5,741,097/x
  3. Step 3: Cross multiply
    3,780,799x = 5,741,097 × 5,741,097
  4. Step 4: Simplify right side
    3,780,799x = 32,960,194,763,409
  5. Step 5: Solve for x
    x = 32,960,194,763,409/3,780,799
  6. Step 6: Final answer
    x = 8,717,785.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.