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Finding the Third Proportional to 552,096 and 1,174,176

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Solution

The third proportional to 552,096 and 1,174,176 is: 2,497,191.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    552,096 : 1,174,176 = 1,174,176 : x
  2. Step 2: Convert to fraction form
    552,096/1,174,176 = 1,174,176/x
  3. Step 3: Cross multiply
    552,096x = 1,174,176 × 1,174,176
  4. Step 4: Simplify right side
    552,096x = 1,378,689,278,976
  5. Step 5: Solve for x
    x = 1,378,689,278,976/552,096
  6. Step 6: Final answer
    x = 2,497,191.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.