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Finding the Third Proportional to 3,794,701 and 5,829,125

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Solution

The third proportional to 3,794,701 and 5,829,125 is: 8,954,249.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,794,701 : 5,829,125 = 5,829,125 : x
  2. Step 2: Convert to fraction form
    3,794,701/5,829,125 = 5,829,125/x
  3. Step 3: Cross multiply
    3,794,701x = 5,829,125 × 5,829,125
  4. Step 4: Simplify right side
    3,794,701x = 33,978,698,265,625
  5. Step 5: Solve for x
    x = 33,978,698,265,625/3,794,701
  6. Step 6: Final answer
    x = 8,954,249.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.