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Finding the Third Proportional to 424,009.69 and 922,753.69

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Solution

The third proportional to 424,009.69 and 922,753.69 is: 2,008,148.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,009.69 : 922,753.69 = 922,753.69 : x
  2. Step 2: Convert to fraction form
    424,009.69/922,753.69 = 922,753.69/x
  3. Step 3: Cross multiply
    424,009.69x = 922,753.69 × 922,753.69
  4. Step 4: Simplify right side
    424,009.69x = 851,474,367,794.85
  5. Step 5: Solve for x
    x = 851,474,367,794.85/424,009.69
  6. Step 6: Final answer
    x = 2,008,148.38

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.