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Finding the Third Proportional to 1,674,170.44 and 3,633,744.38

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Solution

The third proportional to 1,674,170.44 and 3,633,744.38 is: 7,886,949.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,674,170.44 : 3,633,744.38 = 3,633,744.38 : x
  2. Step 2: Convert to fraction form
    1,674,170.44/3,633,744.38 = 3,633,744.38/x
  3. Step 3: Cross multiply
    1,674,170.44x = 3,633,744.38 × 3,633,744.38
  4. Step 4: Simplify right side
    1,674,170.44x = 13,204,098,182,844.14
  5. Step 5: Solve for x
    x = 13,204,098,182,844.14/1,674,170.44
  6. Step 6: Final answer
    x = 7,886,949.79

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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.