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Finding the Third Proportional to 725,171.06 and 1,536,783.47

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Solution

The third proportional to 725,171.06 and 1,536,783.47 is: 3,256,753.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,171.06 : 1,536,783.47 = 1,536,783.47 : x
  2. Step 2: Convert to fraction form
    725,171.06/1,536,783.47 = 1,536,783.47/x
  3. Step 3: Cross multiply
    725,171.06x = 1,536,783.47 × 1,536,783.47
  4. Step 4: Simplify right side
    725,171.06x = 2,361,703,429,823.28
  5. Step 5: Solve for x
    x = 2,361,703,429,823.28/725,171.06
  6. Step 6: Final answer
    x = 3,256,753.55

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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.