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Finding the Third Proportional to 2,033,784 and 4,476,144

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Solution

The third proportional to 2,033,784 and 4,476,144 is: 9,851,520.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,033,784 : 4,476,144 = 4,476,144 : x
  2. Step 2: Convert to fraction form
    2,033,784/4,476,144 = 4,476,144/x
  3. Step 3: Cross multiply
    2,033,784x = 4,476,144 × 4,476,144
  4. Step 4: Simplify right side
    2,033,784x = 20,035,865,108,736
  5. Step 5: Solve for x
    x = 20,035,865,108,736/2,033,784
  6. Step 6: Final answer
    x = 9,851,520.67

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.