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Finding the Third Proportional to 834,459.75 and 1,787,016.38

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Solution

The third proportional to 834,459.75 and 1,787,016.38 is: 3,826,940.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,459.75 : 1,787,016.38 = 1,787,016.38 : x
  2. Step 2: Convert to fraction form
    834,459.75/1,787,016.38 = 1,787,016.38/x
  3. Step 3: Cross multiply
    834,459.75x = 1,787,016.38 × 1,787,016.38
  4. Step 4: Simplify right side
    834,459.75x = 3,193,427,524,518.14
  5. Step 5: Solve for x
    x = 3,193,427,524,518.14/834,459.75
  6. Step 6: Final answer
    x = 3,826,940.15

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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.