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Finding the Third Proportional to 445,611 and 927,942

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Solution

The third proportional to 445,611 and 927,942 is: 1,932,349.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,611 : 927,942 = 927,942 : x
  2. Step 2: Convert to fraction form
    445,611/927,942 = 927,942/x
  3. Step 3: Cross multiply
    445,611x = 927,942 × 927,942
  4. Step 4: Simplify right side
    445,611x = 861,076,355,364
  5. Step 5: Solve for x
    x = 861,076,355,364/445,611
  6. Step 6: Final answer
    x = 1,932,349.86

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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.