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Finding the Third Proportional to 874,962 and 1,251,195

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Solution

The third proportional to 874,962 and 1,251,195 is: 1,789,207.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,962 : 1,251,195 = 1,251,195 : x
  2. Step 2: Convert to fraction form
    874,962/1,251,195 = 1,251,195/x
  3. Step 3: Cross multiply
    874,962x = 1,251,195 × 1,251,195
  4. Step 4: Simplify right side
    874,962x = 1,565,488,928,025
  5. Step 5: Solve for x
    x = 1,565,488,928,025/874,962
  6. Step 6: Final answer
    x = 1,789,207.91

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.