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Finding the Third Proportional to 2,610,400 and 5,606,401

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Solution

The third proportional to 2,610,400 and 5,606,401 is: 12,040,963.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,610,400 : 5,606,401 = 5,606,401 : x
  2. Step 2: Convert to fraction form
    2,610,400/5,606,401 = 5,606,401/x
  3. Step 3: Cross multiply
    2,610,400x = 5,606,401 × 5,606,401
  4. Step 4: Simplify right side
    2,610,400x = 31,431,732,172,801
  5. Step 5: Solve for x
    x = 31,431,732,172,801/2,610,400
  6. Step 6: Final answer
    x = 12,040,963.90

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.