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Finding the Third Proportional to 2,035,651 and 3,101,234

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Solution

The third proportional to 2,035,651 and 3,101,234 is: 4,724,607.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,035,651 : 3,101,234 = 3,101,234 : x
  2. Step 2: Convert to fraction form
    2,035,651/3,101,234 = 3,101,234/x
  3. Step 3: Cross multiply
    2,035,651x = 3,101,234 × 3,101,234
  4. Step 4: Simplify right side
    2,035,651x = 9,617,652,322,756
  5. Step 5: Solve for x
    x = 9,617,652,322,756/2,035,651
  6. Step 6: Final answer
    x = 4,724,607.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.