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Finding the Third Proportional to 422,904.38 and 911,827.13

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Solution

The third proportional to 422,904.38 and 911,827.13 is: 1,965,996.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,904.38 : 911,827.13 = 911,827.13 : x
  2. Step 2: Convert to fraction form
    422,904.38/911,827.13 = 911,827.13/x
  3. Step 3: Cross multiply
    422,904.38x = 911,827.13 × 911,827.13
  4. Step 4: Simplify right side
    422,904.38x = 831,428,705,885.77
  5. Step 5: Solve for x
    x = 831,428,705,885.77/422,904.38
  6. Step 6: Final answer
    x = 1,965,996.94

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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.