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Finding the Third Proportional to 2,555,406 and 5,642,496

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Solution

The third proportional to 2,555,406 and 5,642,496 is: 12,458,983.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,555,406 : 5,642,496 = 5,642,496 : x
  2. Step 2: Convert to fraction form
    2,555,406/5,642,496 = 5,642,496/x
  3. Step 3: Cross multiply
    2,555,406x = 5,642,496 × 5,642,496
  4. Step 4: Simplify right side
    2,555,406x = 31,837,761,110,016
  5. Step 5: Solve for x
    x = 31,837,761,110,016/2,555,406
  6. Step 6: Final answer
    x = 12,458,983.47

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.