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Finding the Third Proportional to 834,036 and 1,786,170

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Solution

The third proportional to 834,036 and 1,786,170 is: 3,825,258.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,036 : 1,786,170 = 1,786,170 : x
  2. Step 2: Convert to fraction form
    834,036/1,786,170 = 1,786,170/x
  3. Step 3: Cross multiply
    834,036x = 1,786,170 × 1,786,170
  4. Step 4: Simplify right side
    834,036x = 3,190,403,268,900
  5. Step 5: Solve for x
    x = 3,190,403,268,900/834,036
  6. Step 6: Final answer
    x = 3,825,258.46

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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.