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Finding the Third Proportional to 949,382 and 1,469,529

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Solution

The third proportional to 949,382 and 1,469,529 is: 2,274,653.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    949,382 : 1,469,529 = 1,469,529 : x
  2. Step 2: Convert to fraction form
    949,382/1,469,529 = 1,469,529/x
  3. Step 3: Cross multiply
    949,382x = 1,469,529 × 1,469,529
  4. Step 4: Simplify right side
    949,382x = 2,159,515,481,841
  5. Step 5: Solve for x
    x = 2,159,515,481,841/949,382
  6. Step 6: Final answer
    x = 2,274,653.91

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.