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Finding the Third Proportional to 427,327 and 911,860

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Solution

The third proportional to 427,327 and 911,860 is: 1,945,790.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    427,327 : 911,860 = 911,860 : x
  2. Step 2: Convert to fraction form
    427,327/911,860 = 911,860/x
  3. Step 3: Cross multiply
    427,327x = 911,860 × 911,860
  4. Step 4: Simplify right side
    427,327x = 831,488,659,600
  5. Step 5: Solve for x
    x = 831,488,659,600/427,327
  6. Step 6: Final answer
    x = 1,945,790.13

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.