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Finding the Third Proportional to 2,505,420 and 3,873,270

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Solution

The third proportional to 2,505,420 and 3,873,270 is: 5,987,906.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,505,420 : 3,873,270 = 3,873,270 : x
  2. Step 2: Convert to fraction form
    2,505,420/3,873,270 = 3,873,270/x
  3. Step 3: Cross multiply
    2,505,420x = 3,873,270 × 3,873,270
  4. Step 4: Simplify right side
    2,505,420x = 15,002,220,492,900
  5. Step 5: Solve for x
    x = 15,002,220,492,900/2,505,420
  6. Step 6: Final answer
    x = 5,987,906.42

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.