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Finding the Third Proportional to 2,484,224 and 3,738,774

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Solution

The third proportional to 2,484,224 and 3,738,774 is: 5,626,880.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,484,224 : 3,738,774 = 3,738,774 : x
  2. Step 2: Convert to fraction form
    2,484,224/3,738,774 = 3,738,774/x
  3. Step 3: Cross multiply
    2,484,224x = 3,738,774 × 3,738,774
  4. Step 4: Simplify right side
    2,484,224x = 13,978,431,023,076
  5. Step 5: Solve for x
    x = 13,978,431,023,076/2,484,224
  6. Step 6: Final answer
    x = 5,626,880.27

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.