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Finding the Third Proportional to 836,175 and 1,262,100

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Solution

The third proportional to 836,175 and 1,262,100 is: 1,904,979.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,175 : 1,262,100 = 1,262,100 : x
  2. Step 2: Convert to fraction form
    836,175/1,262,100 = 1,262,100/x
  3. Step 3: Cross multiply
    836,175x = 1,262,100 × 1,262,100
  4. Step 4: Simplify right side
    836,175x = 1,592,896,410,000
  5. Step 5: Solve for x
    x = 1,592,896,410,000/836,175
  6. Step 6: Final answer
    x = 1,904,979.71

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.