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Finding the Third Proportional to 836,284 and 1,274,094

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Solution

The third proportional to 836,284 and 1,274,094 is: 1,941,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,284 : 1,274,094 = 1,274,094 : x
  2. Step 2: Convert to fraction form
    836,284/1,274,094 = 1,274,094/x
  3. Step 3: Cross multiply
    836,284x = 1,274,094 × 1,274,094
  4. Step 4: Simplify right side
    836,284x = 1,623,315,520,836
  5. Step 5: Solve for x
    x = 1,623,315,520,836/836,284
  6. Step 6: Final answer
    x = 1,941,105.56

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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.