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Finding the Third Proportional to 2,527,943 and 3,576,962

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Solution

The third proportional to 2,527,943 and 3,576,962 is: 5,061,291.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,527,943 : 3,576,962 = 3,576,962 : x
  2. Step 2: Convert to fraction form
    2,527,943/3,576,962 = 3,576,962/x
  3. Step 3: Cross multiply
    2,527,943x = 3,576,962 × 3,576,962
  4. Step 4: Simplify right side
    2,527,943x = 12,794,657,149,444
  5. Step 5: Solve for x
    x = 12,794,657,149,444/2,527,943
  6. Step 6: Final answer
    x = 5,061,291.79

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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.