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Finding the Third Proportional to 2,201,642 and 3,100,395

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Solution

The third proportional to 2,201,642 and 3,100,395 is: 4,366,036.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,201,642 : 3,100,395 = 3,100,395 : x
  2. Step 2: Convert to fraction form
    2,201,642/3,100,395 = 3,100,395/x
  3. Step 3: Cross multiply
    2,201,642x = 3,100,395 × 3,100,395
  4. Step 4: Simplify right side
    2,201,642x = 9,612,449,156,025
  5. Step 5: Solve for x
    x = 9,612,449,156,025/2,201,642
  6. Step 6: Final answer
    x = 4,366,036.42

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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.