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Finding the Third Proportional to 2,527,084 and 5,965,588

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Solution

The third proportional to 2,527,084 and 5,965,588 is: 14,082,729.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,084 : 5,965,588 = 5,965,588 : x
  2. Step 2: Convert to fraction form
    2,527,084/5,965,588 = 5,965,588/x
  3. Step 3: Cross multiply
    2,527,084x = 5,965,588 × 5,965,588
  4. Step 4: Simplify right side
    2,527,084x = 35,588,240,185,744
  5. Step 5: Solve for x
    x = 35,588,240,185,744/2,527,084
  6. Step 6: Final answer
    x = 14,082,729.42

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.