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Finding the Third Proportional to 836,016 and 1,273,584

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Solution

The third proportional to 836,016 and 1,273,584 is: 1,940,173.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,016 : 1,273,584 = 1,273,584 : x
  2. Step 2: Convert to fraction form
    836,016/1,273,584 = 1,273,584/x
  3. Step 3: Cross multiply
    836,016x = 1,273,584 × 1,273,584
  4. Step 4: Simplify right side
    836,016x = 1,622,016,205,056
  5. Step 5: Solve for x
    x = 1,622,016,205,056/836,016
  6. Step 6: Final answer
    x = 1,940,173.64

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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.