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Finding the Third Proportional to 451,473 and 940,311

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Solution

The third proportional to 451,473 and 940,311 is: 1,958,444.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,473 : 940,311 = 940,311 : x
  2. Step 2: Convert to fraction form
    451,473/940,311 = 940,311/x
  3. Step 3: Cross multiply
    451,473x = 940,311 × 940,311
  4. Step 4: Simplify right side
    451,473x = 884,184,776,721
  5. Step 5: Solve for x
    x = 884,184,776,721/451,473
  6. Step 6: Final answer
    x = 1,958,444.42

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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.