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Finding the Third Proportional to 451,462 and 940,290

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Solution

The third proportional to 451,462 and 940,290 is: 1,958,404.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,462 : 940,290 = 940,290 : x
  2. Step 2: Convert to fraction form
    451,462/940,290 = 940,290/x
  3. Step 3: Cross multiply
    451,462x = 940,290 × 940,290
  4. Step 4: Simplify right side
    451,462x = 884,145,284,100
  5. Step 5: Solve for x
    x = 884,145,284,100/451,462
  6. Step 6: Final answer
    x = 1,958,404.66

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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.