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Finding the Third Proportional to 422,632.69 and 911,847.38

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Solution

The third proportional to 422,632.69 and 911,847.38 is: 1,967,348.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,632.69 : 911,847.38 = 911,847.38 : x
  2. Step 2: Convert to fraction form
    422,632.69/911,847.38 = 911,847.38/x
  3. Step 3: Cross multiply
    422,632.69x = 911,847.38 × 911,847.38
  4. Step 4: Simplify right side
    422,632.69x = 831,465,635,294.39
  5. Step 5: Solve for x
    x = 831,465,635,294.39/422,632.69
  6. Step 6: Final answer
    x = 1,967,348.15

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.