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Finding the Third Proportional to 1,192,059.28 and 1,530,672.19

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Solution

The third proportional to 1,192,059.28 and 1,530,672.19 is: 1,965,470.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,192,059.28 : 1,530,672.19 = 1,530,672.19 : x
  2. Step 2: Convert to fraction form
    1,192,059.28/1,530,672.19 = 1,530,672.19/x
  3. Step 3: Cross multiply
    1,192,059.28x = 1,530,672.19 × 1,530,672.19
  4. Step 4: Simplify right side
    1,192,059.28x = 2,342,957,345,586.04
  5. Step 5: Solve for x
    x = 2,342,957,345,586.04/1,192,059.28
  6. Step 6: Final answer
    x = 1,965,470.49

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.