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Finding the Third Proportional to 2,112,493 and 4,561,738.75

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Solution

The third proportional to 2,112,493 and 4,561,738.75 is: 9,850,664.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,112,493 : 4,561,738.75 = 4,561,738.75 : x
  2. Step 2: Convert to fraction form
    2,112,493/4,561,738.75 = 4,561,738.75/x
  3. Step 3: Cross multiply
    2,112,493x = 4,561,738.75 × 4,561,738.75
  4. Step 4: Simplify right side
    2,112,493x = 20,809,460,423,251.56
  5. Step 5: Solve for x
    x = 20,809,460,423,251.56/2,112,493
  6. Step 6: Final answer
    x = 9,850,664.79

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.