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Finding the Third Proportional to 445,622 and 927,962

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Solution

The third proportional to 445,622 and 927,962 is: 1,932,385.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,622 : 927,962 = 927,962 : x
  2. Step 2: Convert to fraction form
    445,622/927,962 = 927,962/x
  3. Step 3: Cross multiply
    445,622x = 927,962 × 927,962
  4. Step 4: Simplify right side
    445,622x = 861,113,473,444
  5. Step 5: Solve for x
    x = 861,113,473,444/445,622
  6. Step 6: Final answer
    x = 1,932,385.46

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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.