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Finding the Third Proportional to 539,300 and 1,173,694

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Solution

The third proportional to 539,300 and 1,173,694 is: 2,554,343.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,300 : 1,173,694 = 1,173,694 : x
  2. Step 2: Convert to fraction form
    539,300/1,173,694 = 1,173,694/x
  3. Step 3: Cross multiply
    539,300x = 1,173,694 × 1,173,694
  4. Step 4: Simplify right side
    539,300x = 1,377,557,605,636
  5. Step 5: Solve for x
    x = 1,377,557,605,636/539,300
  6. Step 6: Final answer
    x = 2,554,343.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.