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Finding the Third Proportional to 2,305,488 and 3,704,256

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Solution

The third proportional to 2,305,488 and 3,704,256 is: 5,951,673.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,305,488 : 3,704,256 = 3,704,256 : x
  2. Step 2: Convert to fraction form
    2,305,488/3,704,256 = 3,704,256/x
  3. Step 3: Cross multiply
    2,305,488x = 3,704,256 × 3,704,256
  4. Step 4: Simplify right side
    2,305,488x = 13,721,512,513,536
  5. Step 5: Solve for x
    x = 13,721,512,513,536/2,305,488
  6. Step 6: Final answer
    x = 5,951,673.79

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.