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Finding the Third Proportional to 2,380,919 and 3,648,288

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Solution

The third proportional to 2,380,919 and 3,648,288 is: 5,590,280.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,919 : 3,648,288 = 3,648,288 : x
  2. Step 2: Convert to fraction form
    2,380,919/3,648,288 = 3,648,288/x
  3. Step 3: Cross multiply
    2,380,919x = 3,648,288 × 3,648,288
  4. Step 4: Simplify right side
    2,380,919x = 13,310,005,330,944
  5. Step 5: Solve for x
    x = 13,310,005,330,944/2,380,919
  6. Step 6: Final answer
    x = 5,590,280.61

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.