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Finding the Third Proportional to 1,184,934 and 1,693,279

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Solution

The third proportional to 1,184,934 and 1,693,279 is: 2,419,707.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,184,934 : 1,693,279 = 1,693,279 : x
  2. Step 2: Convert to fraction form
    1,184,934/1,693,279 = 1,693,279/x
  3. Step 3: Cross multiply
    1,184,934x = 1,693,279 × 1,693,279
  4. Step 4: Simplify right side
    1,184,934x = 2,867,193,771,841
  5. Step 5: Solve for x
    x = 2,867,193,771,841/1,184,934
  6. Step 6: Final answer
    x = 2,419,707.57

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.