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Finding the Third Proportional to 436,214 and 911,956

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Solution

The third proportional to 436,214 and 911,956 is: 1,906,549.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,214 : 911,956 = 911,956 : x
  2. Step 2: Convert to fraction form
    436,214/911,956 = 911,956/x
  3. Step 3: Cross multiply
    436,214x = 911,956 × 911,956
  4. Step 4: Simplify right side
    436,214x = 831,663,745,936
  5. Step 5: Solve for x
    x = 831,663,745,936/436,214
  6. Step 6: Final answer
    x = 1,906,549.87

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.