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Finding the Third Proportional to 725,203.13 and 1,536,848.44

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Solution

The third proportional to 725,203.13 and 1,536,848.44 is: 3,256,884.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,203.13 : 1,536,848.44 = 1,536,848.44 : x
  2. Step 2: Convert to fraction form
    725,203.13/1,536,848.44 = 1,536,848.44/x
  3. Step 3: Cross multiply
    725,203.13x = 1,536,848.44 × 1,536,848.44
  4. Step 4: Simplify right side
    725,203.13x = 2,361,903,119,846.19
  5. Step 5: Solve for x
    x = 2,361,903,119,846.19/725,203.13
  6. Step 6: Final answer
    x = 3,256,884.92

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