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Finding the Third Proportional to 445,602 and 927,924

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Solution

The third proportional to 445,602 and 927,924 is: 1,932,313.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,602 : 927,924 = 927,924 : x
  2. Step 2: Convert to fraction form
    445,602/927,924 = 927,924/x
  3. Step 3: Cross multiply
    445,602x = 927,924 × 927,924
  4. Step 4: Simplify right side
    445,602x = 861,042,949,776
  5. Step 5: Solve for x
    x = 861,042,949,776/445,602
  6. Step 6: Final answer
    x = 1,932,313.93

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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.