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Finding the Third Proportional to 445,632 and 927,978

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Solution

The third proportional to 445,632 and 927,978 is: 1,932,408.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,632 : 927,978 = 927,978 : x
  2. Step 2: Convert to fraction form
    445,632/927,978 = 927,978/x
  3. Step 3: Cross multiply
    445,632x = 927,978 × 927,978
  4. Step 4: Simplify right side
    445,632x = 861,143,168,484
  5. Step 5: Solve for x
    x = 861,143,168,484/445,632
  6. Step 6: Final answer
    x = 1,932,408.73

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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.