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Finding the Third Proportional to 834,016 and 1,786,130

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Solution

The third proportional to 834,016 and 1,786,130 is: 3,825,178.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,016 : 1,786,130 = 1,786,130 : x
  2. Step 2: Convert to fraction form
    834,016/1,786,130 = 1,786,130/x
  3. Step 3: Cross multiply
    834,016x = 1,786,130 × 1,786,130
  4. Step 4: Simplify right side
    834,016x = 3,190,260,376,900
  5. Step 5: Solve for x
    x = 3,190,260,376,900/834,016
  6. Step 6: Final answer
    x = 3,825,178.87

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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.