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Finding the Third Proportional to 950,432 and 1,256,296

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Solution

The third proportional to 950,432 and 1,256,296 is: 1,660,591.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    950,432 : 1,256,296 = 1,256,296 : x
  2. Step 2: Convert to fraction form
    950,432/1,256,296 = 1,256,296/x
  3. Step 3: Cross multiply
    950,432x = 1,256,296 × 1,256,296
  4. Step 4: Simplify right side
    950,432x = 1,578,279,639,616
  5. Step 5: Solve for x
    x = 1,578,279,639,616/950,432
  6. Step 6: Final answer
    x = 1,660,591.86

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.