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Finding the Third Proportional to 547,496 and 819,016

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Solution

The third proportional to 547,496 and 819,016 is: 1,225,191.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,496 : 819,016 = 819,016 : x
  2. Step 2: Convert to fraction form
    547,496/819,016 = 819,016/x
  3. Step 3: Cross multiply
    547,496x = 819,016 × 819,016
  4. Step 4: Simplify right side
    547,496x = 670,787,208,256
  5. Step 5: Solve for x
    x = 670,787,208,256/547,496
  6. Step 6: Final answer
    x = 1,225,191.07

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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.