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Finding the Third Proportional to 422,906 and 911,831

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Solution

The third proportional to 422,906 and 911,831 is: 1,966,006.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,906 : 911,831 = 911,831 : x
  2. Step 2: Convert to fraction form
    422,906/911,831 = 911,831/x
  3. Step 3: Cross multiply
    422,906x = 911,831 × 911,831
  4. Step 4: Simplify right side
    422,906x = 831,435,772,561
  5. Step 5: Solve for x
    x = 831,435,772,561/422,906
  6. Step 6: Final answer
    x = 1,966,006.09

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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.