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Finding the Third Proportional to 2,126,853 and 3,269,123

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Solution

The third proportional to 2,126,853 and 3,269,123 is: 5,024,872.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,126,853 : 3,269,123 = 3,269,123 : x
  2. Step 2: Convert to fraction form
    2,126,853/3,269,123 = 3,269,123/x
  3. Step 3: Cross multiply
    2,126,853x = 3,269,123 × 3,269,123
  4. Step 4: Simplify right side
    2,126,853x = 10,687,165,189,129
  5. Step 5: Solve for x
    x = 10,687,165,189,129/2,126,853
  6. Step 6: Final answer
    x = 5,024,872.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.