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Finding the Third Proportional to 2,025,728 and 3,149,184

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Solution

The third proportional to 2,025,728 and 3,149,184 is: 4,895,701.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,025,728 : 3,149,184 = 3,149,184 : x
  2. Step 2: Convert to fraction form
    2,025,728/3,149,184 = 3,149,184/x
  3. Step 3: Cross multiply
    2,025,728x = 3,149,184 × 3,149,184
  4. Step 4: Simplify right side
    2,025,728x = 9,917,359,865,856
  5. Step 5: Solve for x
    x = 9,917,359,865,856/2,025,728
  6. Step 6: Final answer
    x = 4,895,701.63

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.