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Finding the Third Proportional to 834,015 and 1,786,128

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Solution

The third proportional to 834,015 and 1,786,128 is: 3,825,174.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,015 : 1,786,128 = 1,786,128 : x
  2. Step 2: Convert to fraction form
    834,015/1,786,128 = 1,786,128/x
  3. Step 3: Cross multiply
    834,015x = 1,786,128 × 1,786,128
  4. Step 4: Simplify right side
    834,015x = 3,190,253,232,384
  5. Step 5: Solve for x
    x = 3,190,253,232,384/834,015
  6. Step 6: Final answer
    x = 3,825,174.89

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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.