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Finding the Third Proportional to 834,014 and 1,786,126

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Solution

The third proportional to 834,014 and 1,786,126 is: 3,825,170.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,014 : 1,786,126 = 1,786,126 : x
  2. Step 2: Convert to fraction form
    834,014/1,786,126 = 1,786,126/x
  3. Step 3: Cross multiply
    834,014x = 1,786,126 × 1,786,126
  4. Step 4: Simplify right side
    834,014x = 3,190,246,087,876
  5. Step 5: Solve for x
    x = 3,190,246,087,876/834,014
  6. Step 6: Final answer
    x = 3,825,170.91

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.