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Finding the Third Proportional to 539,341 and 1,198,399

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Solution

The third proportional to 539,341 and 1,198,399 is: 2,662,805.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,341 : 1,198,399 = 1,198,399 : x
  2. Step 2: Convert to fraction form
    539,341/1,198,399 = 1,198,399/x
  3. Step 3: Cross multiply
    539,341x = 1,198,399 × 1,198,399
  4. Step 4: Simplify right side
    539,341x = 1,436,160,163,201
  5. Step 5: Solve for x
    x = 1,436,160,163,201/539,341
  6. Step 6: Final answer
    x = 2,662,805.47

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.