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Finding the Third Proportional to 422,635 and 911,852

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Solution

The third proportional to 422,635 and 911,852 is: 1,967,357.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,635 : 911,852 = 911,852 : x
  2. Step 2: Convert to fraction form
    422,635/911,852 = 911,852/x
  3. Step 3: Cross multiply
    422,635x = 911,852 × 911,852
  4. Step 4: Simplify right side
    422,635x = 831,474,069,904
  5. Step 5: Solve for x
    x = 831,474,069,904/422,635
  6. Step 6: Final answer
    x = 1,967,357.34

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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.