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Finding the Third Proportional to 1,394,932 and 2,957,280

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Solution

The third proportional to 1,394,932 and 2,957,280 is: 6,269,484.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,932 : 2,957,280 = 2,957,280 : x
  2. Step 2: Convert to fraction form
    1,394,932/2,957,280 = 2,957,280/x
  3. Step 3: Cross multiply
    1,394,932x = 2,957,280 × 2,957,280
  4. Step 4: Simplify right side
    1,394,932x = 8,745,504,998,400
  5. Step 5: Solve for x
    x = 8,745,504,998,400/1,394,932
  6. Step 6: Final answer
    x = 6,269,484.82

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.