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Finding the Third Proportional to 539,345 and 1,198,404

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Solution

The third proportional to 539,345 and 1,198,404 is: 2,662,807.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,345 : 1,198,404 = 1,198,404 : x
  2. Step 2: Convert to fraction form
    539,345/1,198,404 = 1,198,404/x
  3. Step 3: Cross multiply
    539,345x = 1,198,404 × 1,198,404
  4. Step 4: Simplify right side
    539,345x = 1,436,172,147,216
  5. Step 5: Solve for x
    x = 1,436,172,147,216/539,345
  6. Step 6: Final answer
    x = 2,662,807.94

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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.