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Finding the Third Proportional to 742,896.56 and 1,628,198.72

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Solution

The third proportional to 742,896.56 and 1,628,198.72 is: 3,568,506.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    742,896.56 : 1,628,198.72 = 1,628,198.72 : x
  2. Step 2: Convert to fraction form
    742,896.56/1,628,198.72 = 1,628,198.72/x
  3. Step 3: Cross multiply
    742,896.56x = 1,628,198.72 × 1,628,198.72
  4. Step 4: Simplify right side
    742,896.56x = 2,651,031,067,739.14
  5. Step 5: Solve for x
    x = 2,651,031,067,739.14/742,896.56
  6. Step 6: Final answer
    x = 3,568,506.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.