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Finding the Third Proportional to 445,626 and 927,970

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Solution

The third proportional to 445,626 and 927,970 is: 1,932,401.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,626 : 927,970 = 927,970 : x
  2. Step 2: Convert to fraction form
    445,626/927,970 = 927,970/x
  3. Step 3: Cross multiply
    445,626x = 927,970 × 927,970
  4. Step 4: Simplify right side
    445,626x = 861,128,320,900
  5. Step 5: Solve for x
    x = 861,128,320,900/445,626
  6. Step 6: Final answer
    x = 1,932,401.43

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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.