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Finding the Third Proportional to 539,692 and 1,162,444

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Solution

The third proportional to 539,692 and 1,162,444 is: 2,503,791.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    539,692 : 1,162,444 = 1,162,444 : x
  2. Step 2: Convert to fraction form
    539,692/1,162,444 = 1,162,444/x
  3. Step 3: Cross multiply
    539,692x = 1,162,444 × 1,162,444
  4. Step 4: Simplify right side
    539,692x = 1,351,276,053,136
  5. Step 5: Solve for x
    x = 1,351,276,053,136/539,692
  6. Step 6: Final answer
    x = 2,503,791.15

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.