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Finding the Third Proportional to 445,617 and 927,951

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Solution

The third proportional to 445,617 and 927,951 is: 1,932,361.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,617 : 927,951 = 927,951 : x
  2. Step 2: Convert to fraction form
    445,617/927,951 = 927,951/x
  3. Step 3: Cross multiply
    445,617x = 927,951 × 927,951
  4. Step 4: Simplify right side
    445,617x = 861,093,058,401
  5. Step 5: Solve for x
    x = 861,093,058,401/445,617
  6. Step 6: Final answer
    x = 1,932,361.33

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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.