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Finding the Third Proportional to 1,725,300 and 3,629,080.97

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Solution

The third proportional to 1,725,300 and 3,629,080.97 is: 7,633,587.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,725,300 : 3,629,080.97 = 3,629,080.97 : x
  2. Step 2: Convert to fraction form
    1,725,300/3,629,080.97 = 3,629,080.97/x
  3. Step 3: Cross multiply
    1,725,300x = 3,629,080.97 × 3,629,080.97
  4. Step 4: Simplify right side
    1,725,300x = 13,170,228,677,743.44
  5. Step 5: Solve for x
    x = 13,170,228,677,743.44/1,725,300
  6. Step 6: Final answer
    x = 7,633,587.60

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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.