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Finding the Third Proportional to 1,725,287.06 and 3,629,052.56

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Solution

The third proportional to 1,725,287.06 and 3,629,052.56 is: 7,633,525.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,287.06 : 3,629,052.56 = 3,629,052.56 : x
  2. Step 2: Convert to fraction form
    1,725,287.06/3,629,052.56 = 3,629,052.56/x
  3. Step 3: Cross multiply
    1,725,287.06x = 3,629,052.56 × 3,629,052.56
  4. Step 4: Simplify right side
    1,725,287.06x = 13,170,022,501,387.82
  5. Step 5: Solve for x
    x = 13,170,022,501,387.82/1,725,287.06
  6. Step 6: Final answer
    x = 7,633,525.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.