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Finding the Third Proportional to 725,225.06 and 1,536,892.31

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Solution

The third proportional to 725,225.06 and 1,536,892.31 is: 3,256,972.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,225.06 : 1,536,892.31 = 1,536,892.31 : x
  2. Step 2: Convert to fraction form
    725,225.06/1,536,892.31 = 1,536,892.31/x
  3. Step 3: Cross multiply
    725,225.06x = 1,536,892.31 × 1,536,892.31
  4. Step 4: Simplify right side
    725,225.06x = 2,362,037,980,221.60
  5. Step 5: Solve for x
    x = 2,362,037,980,221.60/725,225.06
  6. Step 6: Final answer
    x = 3,256,972.36

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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.