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Finding the Third Proportional to 642,755 and 1,227,189

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Solution

The third proportional to 642,755 and 1,227,189 is: 2,343,027.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,755 : 1,227,189 = 1,227,189 : x
  2. Step 2: Convert to fraction form
    642,755/1,227,189 = 1,227,189/x
  3. Step 3: Cross multiply
    642,755x = 1,227,189 × 1,227,189
  4. Step 4: Simplify right side
    642,755x = 1,505,992,841,721
  5. Step 5: Solve for x
    x = 1,505,992,841,721/642,755
  6. Step 6: Final answer
    x = 2,343,027.81

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.