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Finding the Third Proportional to 547,524 and 1,170,693

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Solution

The third proportional to 547,524 and 1,170,693 is: 2,503,126.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,524 : 1,170,693 = 1,170,693 : x
  2. Step 2: Convert to fraction form
    547,524/1,170,693 = 1,170,693/x
  3. Step 3: Cross multiply
    547,524x = 1,170,693 × 1,170,693
  4. Step 4: Simplify right side
    547,524x = 1,370,522,100,249
  5. Step 5: Solve for x
    x = 1,370,522,100,249/547,524
  6. Step 6: Final answer
    x = 2,503,126.99

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.