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Finding the Third Proportional to 2,115,786 and 3,223,255

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Solution

The third proportional to 2,115,786 and 3,223,255 is: 4,910,408.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,115,786 : 3,223,255 = 3,223,255 : x
  2. Step 2: Convert to fraction form
    2,115,786/3,223,255 = 3,223,255/x
  3. Step 3: Cross multiply
    2,115,786x = 3,223,255 × 3,223,255
  4. Step 4: Simplify right side
    2,115,786x = 10,389,372,795,025
  5. Step 5: Solve for x
    x = 10,389,372,795,025/2,115,786
  6. Step 6: Final answer
    x = 4,910,408.14

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