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Finding the Third Proportional to 725,144.27 and 1,509,833.04

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Solution

The third proportional to 725,144.27 and 1,509,833.04 is: 3,143,644.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    725,144.27 : 1,509,833.04 = 1,509,833.04 : x
  2. Step 2: Convert to fraction form
    725,144.27/1,509,833.04 = 1,509,833.04/x
  3. Step 3: Cross multiply
    725,144.27x = 1,509,833.04 × 1,509,833.04
  4. Step 4: Simplify right side
    725,144.27x = 2,279,595,805,844.70
  5. Step 5: Solve for x
    x = 2,279,595,805,844.70/725,144.27
  6. Step 6: Final answer
    x = 3,143,644.50

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.