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Finding the Third Proportional to 1,691,567.25 and 2,444,021.25

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Solution

The third proportional to 1,691,567.25 and 2,444,021.25 is: 3,531,186.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,691,567.25 : 2,444,021.25 = 2,444,021.25 : x
  2. Step 2: Convert to fraction form
    1,691,567.25/2,444,021.25 = 2,444,021.25/x
  3. Step 3: Cross multiply
    1,691,567.25x = 2,444,021.25 × 2,444,021.25
  4. Step 4: Simplify right side
    1,691,567.25x = 5,973,239,870,451.56
  5. Step 5: Solve for x
    x = 5,973,239,870,451.56/1,691,567.25
  6. Step 6: Final answer
    x = 3,531,186.76

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.