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Finding the Third Proportional to 544,197 and 1,270,785

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Solution

The third proportional to 544,197 and 1,270,785 is: 2,967,481.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,197 : 1,270,785 = 1,270,785 : x
  2. Step 2: Convert to fraction form
    544,197/1,270,785 = 1,270,785/x
  3. Step 3: Cross multiply
    544,197x = 1,270,785 × 1,270,785
  4. Step 4: Simplify right side
    544,197x = 1,614,894,516,225
  5. Step 5: Solve for x
    x = 1,614,894,516,225/544,197
  6. Step 6: Final answer
    x = 2,967,481.47

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.