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Finding the Third Proportional to 2,527,945 and 3,576,965

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Solution

The third proportional to 2,527,945 and 3,576,965 is: 5,061,296.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,945 : 3,576,965 = 3,576,965 : x
  2. Step 2: Convert to fraction form
    2,527,945/3,576,965 = 3,576,965/x
  3. Step 3: Cross multiply
    2,527,945x = 3,576,965 × 3,576,965
  4. Step 4: Simplify right side
    2,527,945x = 12,794,678,611,225
  5. Step 5: Solve for x
    x = 12,794,678,611,225/2,527,945
  6. Step 6: Final answer
    x = 5,061,296.27

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.