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Finding the Third Proportional to 1,355,916 and 2,919,394

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Solution

The third proportional to 1,355,916 and 2,919,394 is: 6,285,685.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,355,916 : 2,919,394 = 2,919,394 : x
  2. Step 2: Convert to fraction form
    1,355,916/2,919,394 = 2,919,394/x
  3. Step 3: Cross multiply
    1,355,916x = 2,919,394 × 2,919,394
  4. Step 4: Simplify right side
    1,355,916x = 8,522,861,327,236
  5. Step 5: Solve for x
    x = 8,522,861,327,236/1,355,916
  6. Step 6: Final answer
    x = 6,285,685.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.