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Finding the Third Proportional to 1,876,320 and 4,096,728

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Solution

The third proportional to 1,876,320 and 4,096,728 is: 8,944,732.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,876,320 : 4,096,728 = 4,096,728 : x
  2. Step 2: Convert to fraction form
    1,876,320/4,096,728 = 4,096,728/x
  3. Step 3: Cross multiply
    1,876,320x = 4,096,728 × 4,096,728
  4. Step 4: Simplify right side
    1,876,320x = 16,783,180,305,984
  5. Step 5: Solve for x
    x = 16,783,180,305,984/1,876,320
  6. Step 6: Final answer
    x = 8,944,732.40

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.