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Finding the Third Proportional to 445,620 and 927,957

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Solution

The third proportional to 445,620 and 927,957 is: 1,932,373.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,620 : 927,957 = 927,957 : x
  2. Step 2: Convert to fraction form
    445,620/927,957 = 927,957/x
  3. Step 3: Cross multiply
    445,620x = 927,957 × 927,957
  4. Step 4: Simplify right side
    445,620x = 861,104,193,849
  5. Step 5: Solve for x
    x = 861,104,193,849/445,620
  6. Step 6: Final answer
    x = 1,932,373.31

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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.