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Finding the Third Proportional to 834,458.25 and 1,787,015.25

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Solution

The third proportional to 834,458.25 and 1,787,015.25 is: 3,826,942.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    834,458.25 : 1,787,015.25 = 1,787,015.25 : x
  2. Step 2: Convert to fraction form
    834,458.25/1,787,015.25 = 1,787,015.25/x
  3. Step 3: Cross multiply
    834,458.25x = 1,787,015.25 × 1,787,015.25
  4. Step 4: Simplify right side
    834,458.25x = 3,193,423,503,732.56
  5. Step 5: Solve for x
    x = 3,193,423,503,732.56/834,458.25
  6. Step 6: Final answer
    x = 3,826,942.22

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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.