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Finding the Third Proportional to 445,625 and 927,968

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Solution

The third proportional to 445,625 and 927,968 is: 1,932,397.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,625 : 927,968 = 927,968 : x
  2. Step 2: Convert to fraction form
    445,625/927,968 = 927,968/x
  3. Step 3: Cross multiply
    445,625x = 927,968 × 927,968
  4. Step 4: Simplify right side
    445,625x = 861,124,609,024
  5. Step 5: Solve for x
    x = 861,124,609,024/445,625
  6. Step 6: Final answer
    x = 1,932,397.44

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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.