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Finding the Third Proportional to 535,906 and 1,179,761

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Solution

The third proportional to 535,906 and 1,179,761 is: 2,597,164.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    535,906 : 1,179,761 = 1,179,761 : x
  2. Step 2: Convert to fraction form
    535,906/1,179,761 = 1,179,761/x
  3. Step 3: Cross multiply
    535,906x = 1,179,761 × 1,179,761
  4. Step 4: Simplify right side
    535,906x = 1,391,836,017,121
  5. Step 5: Solve for x
    x = 1,391,836,017,121/535,906
  6. Step 6: Final answer
    x = 2,597,164.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.