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Finding the Third Proportional to 1,478,800 and 2,380,851

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Solution

The third proportional to 1,478,800 and 2,380,851 is: 3,833,142.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,478,800 : 2,380,851 = 2,380,851 : x
  2. Step 2: Convert to fraction form
    1,478,800/2,380,851 = 2,380,851/x
  3. Step 3: Cross multiply
    1,478,800x = 2,380,851 × 2,380,851
  4. Step 4: Simplify right side
    1,478,800x = 5,668,451,484,201
  5. Step 5: Solve for x
    x = 5,668,451,484,201/1,478,800
  6. Step 6: Final answer
    x = 3,833,142.74

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These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.