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Finding the Third Proportional to 1,149,172 and 2,331,174

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Solution

The third proportional to 1,149,172 and 2,331,174 is: 4,728,945.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,149,172 : 2,331,174 = 2,331,174 : x
  2. Step 2: Convert to fraction form
    1,149,172/2,331,174 = 2,331,174/x
  3. Step 3: Cross multiply
    1,149,172x = 2,331,174 × 2,331,174
  4. Step 4: Simplify right side
    1,149,172x = 5,434,372,218,276
  5. Step 5: Solve for x
    x = 5,434,372,218,276/1,149,172
  6. Step 6: Final answer
    x = 4,728,945.90

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.