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Finding the Third Proportional to 547,197 and 818,604

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Solution

The third proportional to 547,197 and 818,604 is: 1,224,627.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,197 : 818,604 = 818,604 : x
  2. Step 2: Convert to fraction form
    547,197/818,604 = 818,604/x
  3. Step 3: Cross multiply
    547,197x = 818,604 × 818,604
  4. Step 4: Simplify right side
    547,197x = 670,112,508,816
  5. Step 5: Solve for x
    x = 670,112,508,816/547,197
  6. Step 6: Final answer
    x = 1,224,627.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.