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Finding the Third Proportional to 2,380,006 and 3,575,204

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Solution

The third proportional to 2,380,006 and 3,575,204 is: 5,370,609.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,006 : 3,575,204 = 3,575,204 : x
  2. Step 2: Convert to fraction form
    2,380,006/3,575,204 = 3,575,204/x
  3. Step 3: Cross multiply
    2,380,006x = 3,575,204 × 3,575,204
  4. Step 4: Simplify right side
    2,380,006x = 12,782,083,641,616
  5. Step 5: Solve for x
    x = 12,782,083,641,616/2,380,006
  6. Step 6: Final answer
    x = 5,370,609.84

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.