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Finding the Third Proportional to 2,000,115 and 4,238,268

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Solution

The third proportional to 2,000,115 and 4,238,268 is: 8,980,941.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000,115 : 4,238,268 = 4,238,268 : x
  2. Step 2: Convert to fraction form
    2,000,115/4,238,268 = 4,238,268/x
  3. Step 3: Cross multiply
    2,000,115x = 4,238,268 × 4,238,268
  4. Step 4: Simplify right side
    2,000,115x = 17,962,915,639,824
  5. Step 5: Solve for x
    x = 17,962,915,639,824/2,000,115
  6. Step 6: Final answer
    x = 8,980,941.42

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.