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Finding the Third Proportional to 725,164 and 1,536,772

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Solution

The third proportional to 725,164 and 1,536,772 is: 3,256,736.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,164 : 1,536,772 = 1,536,772 : x
  2. Step 2: Convert to fraction form
    725,164/1,536,772 = 1,536,772/x
  3. Step 3: Cross multiply
    725,164x = 1,536,772 × 1,536,772
  4. Step 4: Simplify right side
    725,164x = 2,361,668,179,984
  5. Step 5: Solve for x
    x = 2,361,668,179,984/725,164
  6. Step 6: Final answer
    x = 3,256,736.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.