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Finding the Third Proportional to 2,414,426 and 5,027,192

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Solution

The third proportional to 2,414,426 and 5,027,192 is: 10,467,357.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414,426 : 5,027,192 = 5,027,192 : x
  2. Step 2: Convert to fraction form
    2,414,426/5,027,192 = 5,027,192/x
  3. Step 3: Cross multiply
    2,414,426x = 5,027,192 × 5,027,192
  4. Step 4: Simplify right side
    2,414,426x = 25,272,659,404,864
  5. Step 5: Solve for x
    x = 25,272,659,404,864/2,414,426
  6. Step 6: Final answer
    x = 10,467,357.21

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.