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Finding the Third Proportional to 579,285 and 1,261,548

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Solution

The third proportional to 579,285 and 1,261,548 is: 2,747,358.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,285 : 1,261,548 = 1,261,548 : x
  2. Step 2: Convert to fraction form
    579,285/1,261,548 = 1,261,548/x
  3. Step 3: Cross multiply
    579,285x = 1,261,548 × 1,261,548
  4. Step 4: Simplify right side
    579,285x = 1,591,503,356,304
  5. Step 5: Solve for x
    x = 1,591,503,356,304/579,285
  6. Step 6: Final answer
    x = 2,747,358.13

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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.