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Finding the Third Proportional to 1,159,422 and 1,524,635

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Solution

The third proportional to 1,159,422 and 1,524,635 is: 2,004,888.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,422 : 1,524,635 = 1,524,635 : x
  2. Step 2: Convert to fraction form
    1,159,422/1,524,635 = 1,524,635/x
  3. Step 3: Cross multiply
    1,159,422x = 1,524,635 × 1,524,635
  4. Step 4: Simplify right side
    1,159,422x = 2,324,511,883,225
  5. Step 5: Solve for x
    x = 2,324,511,883,225/1,159,422
  6. Step 6: Final answer
    x = 2,004,888.54

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.