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Finding the Third Proportional to 1,524,515.34 and 3,010,474.69

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Solution

The third proportional to 1,524,515.34 and 3,010,474.69 is: 5,944,812.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,524,515.34 : 3,010,474.69 = 3,010,474.69 : x
  2. Step 2: Convert to fraction form
    1,524,515.34/3,010,474.69 = 3,010,474.69/x
  3. Step 3: Cross multiply
    1,524,515.34x = 3,010,474.69 × 3,010,474.69
  4. Step 4: Simplify right side
    1,524,515.34x = 9,062,957,844,078.22
  5. Step 5: Solve for x
    x = 9,062,957,844,078.22/1,524,515.34
  6. Step 6: Final answer
    x = 5,944,812.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.