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Finding the Third Proportional to 1,165,923 and 2,522,826.75

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Solution

The third proportional to 1,165,923 and 2,522,826.75 is: 5,458,898.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,165,923 : 2,522,826.75 = 2,522,826.75 : x
  2. Step 2: Convert to fraction form
    1,165,923/2,522,826.75 = 2,522,826.75/x
  3. Step 3: Cross multiply
    1,165,923x = 2,522,826.75 × 2,522,826.75
  4. Step 4: Simplify right side
    1,165,923x = 6,364,654,810,515.56
  5. Step 5: Solve for x
    x = 6,364,654,810,515.56/1,165,923
  6. Step 6: Final answer
    x = 5,458,898.07

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.