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Finding the Third Proportional to 548,097 and 1,195,536

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Solution

The third proportional to 548,097 and 1,195,536 is: 2,607,761.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    548,097 : 1,195,536 = 1,195,536 : x
  2. Step 2: Convert to fraction form
    548,097/1,195,536 = 1,195,536/x
  3. Step 3: Cross multiply
    548,097x = 1,195,536 × 1,195,536
  4. Step 4: Simplify right side
    548,097x = 1,429,306,327,296
  5. Step 5: Solve for x
    x = 1,429,306,327,296/548,097
  6. Step 6: Final answer
    x = 2,607,761.63

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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.