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Finding the Third Proportional to 445,619 and 927,955

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Solution

The third proportional to 445,619 and 927,955 is: 1,932,369.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    445,619 : 927,955 = 927,955 : x
  2. Step 2: Convert to fraction form
    445,619/927,955 = 927,955/x
  3. Step 3: Cross multiply
    445,619x = 927,955 × 927,955
  4. Step 4: Simplify right side
    445,619x = 861,100,482,025
  5. Step 5: Solve for x
    x = 861,100,482,025/445,619
  6. Step 6: Final answer
    x = 1,932,369.32

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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.