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Finding the Third Proportional to 451,463 and 940,292

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Solution

The third proportional to 451,463 and 940,292 is: 1,958,408.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,463 : 940,292 = 940,292 : x
  2. Step 2: Convert to fraction form
    451,463/940,292 = 940,292/x
  3. Step 3: Cross multiply
    451,463x = 940,292 × 940,292
  4. Step 4: Simplify right side
    451,463x = 884,149,045,264
  5. Step 5: Solve for x
    x = 884,149,045,264/451,463
  6. Step 6: Final answer
    x = 1,958,408.65

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.