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Finding the Third Proportional to 1,121,539 and 2,467,366

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Solution

The third proportional to 1,121,539 and 2,467,366 is: 5,428,161.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,121,539 : 2,467,366 = 2,467,366 : x
  2. Step 2: Convert to fraction form
    1,121,539/2,467,366 = 2,467,366/x
  3. Step 3: Cross multiply
    1,121,539x = 2,467,366 × 2,467,366
  4. Step 4: Simplify right side
    1,121,539x = 6,087,894,977,956
  5. Step 5: Solve for x
    x = 6,087,894,977,956/1,121,539
  6. Step 6: Final answer
    x = 5,428,161.64

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.