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Finding the Third Proportional to 3,820,027 and 5,730,041

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Solution

The third proportional to 3,820,027 and 5,730,041 is: 8,595,062.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,820,027 : 5,730,041 = 5,730,041 : x
  2. Step 2: Convert to fraction form
    3,820,027/5,730,041 = 5,730,041/x
  3. Step 3: Cross multiply
    3,820,027x = 5,730,041 × 5,730,041
  4. Step 4: Simplify right side
    3,820,027x = 32,833,369,861,681
  5. Step 5: Solve for x
    x = 32,833,369,861,681/3,820,027
  6. Step 6: Final answer
    x = 8,595,062.25

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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.