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Finding the Third Proportional to 422,907 and 911,833

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Solution

The third proportional to 422,907 and 911,833 is: 1,966,010.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    422,907 : 911,833 = 911,833 : x
  2. Step 2: Convert to fraction form
    422,907/911,833 = 911,833/x
  3. Step 3: Cross multiply
    422,907x = 911,833 × 911,833
  4. Step 4: Simplify right side
    422,907x = 831,439,419,889
  5. Step 5: Solve for x
    x = 831,439,419,889/422,907
  6. Step 6: Final answer
    x = 1,966,010.07

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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.