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Finding the Third Proportional to 873,200.25 and 1,324,557.56

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Solution

The third proportional to 873,200.25 and 1,324,557.56 is: 2,009,221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    873,200.25 : 1,324,557.56 = 1,324,557.56 : x
  2. Step 2: Convert to fraction form
    873,200.25/1,324,557.56 = 1,324,557.56/x
  3. Step 3: Cross multiply
    873,200.25x = 1,324,557.56 × 1,324,557.56
  4. Step 4: Simplify right side
    873,200.25x = 1,754,452,736,375.94
  5. Step 5: Solve for x
    x = 1,754,452,736,375.94/873,200.25
  6. Step 6: Final answer
    x = 2,009,221.52

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.