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Finding the Third Proportional to 539,354 and 1,172,836

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Solution

The third proportional to 539,354 and 1,172,836 is: 2,550,355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,354 : 1,172,836 = 1,172,836 : x
  2. Step 2: Convert to fraction form
    539,354/1,172,836 = 1,172,836/x
  3. Step 3: Cross multiply
    539,354x = 1,172,836 × 1,172,836
  4. Step 4: Simplify right side
    539,354x = 1,375,544,282,896
  5. Step 5: Solve for x
    x = 1,375,544,282,896/539,354
  6. Step 6: Final answer
    x = 2,550,355.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.