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Finding the Third Proportional to 422,302 and 911,035

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Solution

The third proportional to 422,302 and 911,035 is: 1,965,382.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,302 : 911,035 = 911,035 : x
  2. Step 2: Convert to fraction form
    422,302/911,035 = 911,035/x
  3. Step 3: Cross multiply
    422,302x = 911,035 × 911,035
  4. Step 4: Simplify right side
    422,302x = 829,984,771,225
  5. Step 5: Solve for x
    x = 829,984,771,225/422,302
  6. Step 6: Final answer
    x = 1,965,382.05

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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.