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Finding the Third Proportional to 539,348 and 1,172,824

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Solution

The third proportional to 539,348 and 1,172,824 is: 2,550,331.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,348 : 1,172,824 = 1,172,824 : x
  2. Step 2: Convert to fraction form
    539,348/1,172,824 = 1,172,824/x
  3. Step 3: Cross multiply
    539,348x = 1,172,824 × 1,172,824
  4. Step 4: Simplify right side
    539,348x = 1,375,516,134,976
  5. Step 5: Solve for x
    x = 1,375,516,134,976/539,348
  6. Step 6: Final answer
    x = 2,550,331.39

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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.