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Finding the Third Proportional to 2,593,728 and 3,880,224

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Solution

The third proportional to 2,593,728 and 3,880,224 is: 5,804,825.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,593,728 : 3,880,224 = 3,880,224 : x
  2. Step 2: Convert to fraction form
    2,593,728/3,880,224 = 3,880,224/x
  3. Step 3: Cross multiply
    2,593,728x = 3,880,224 × 3,880,224
  4. Step 4: Simplify right side
    2,593,728x = 15,056,138,290,176
  5. Step 5: Solve for x
    x = 15,056,138,290,176/2,593,728
  6. Step 6: Final answer
    x = 5,804,825.44

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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.