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Finding the Third Proportional to 539,219 and 825,191

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Solution

The third proportional to 539,219 and 825,191 is: 1,262,826.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,219 : 825,191 = 825,191 : x
  2. Step 2: Convert to fraction form
    539,219/825,191 = 825,191/x
  3. Step 3: Cross multiply
    539,219x = 825,191 × 825,191
  4. Step 4: Simplify right side
    539,219x = 680,940,186,481
  5. Step 5: Solve for x
    x = 680,940,186,481/539,219
  6. Step 6: Final answer
    x = 1,262,826.77

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.