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Finding the Third Proportional to 579,281 and 1,261,544

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Solution

The third proportional to 579,281 and 1,261,544 is: 2,747,359.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    579,281 : 1,261,544 = 1,261,544 : x
  2. Step 2: Convert to fraction form
    579,281/1,261,544 = 1,261,544/x
  3. Step 3: Cross multiply
    579,281x = 1,261,544 × 1,261,544
  4. Step 4: Simplify right side
    579,281x = 1,591,493,263,936
  5. Step 5: Solve for x
    x = 1,591,493,263,936/579,281
  6. Step 6: Final answer
    x = 2,747,359.68

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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.