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Finding the Third Proportional to 2,291,384 and 4,976,873

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Solution

The third proportional to 2,291,384 and 4,976,873 is: 10,809,739.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,291,384 : 4,976,873 = 4,976,873 : x
  2. Step 2: Convert to fraction form
    2,291,384/4,976,873 = 4,976,873/x
  3. Step 3: Cross multiply
    2,291,384x = 4,976,873 × 4,976,873
  4. Step 4: Simplify right side
    2,291,384x = 24,769,264,858,129
  5. Step 5: Solve for x
    x = 24,769,264,858,129/2,291,384
  6. Step 6: Final answer
    x = 10,809,739.82

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.