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Finding the Third Proportional to 800,176 and 1,737,728

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Solution

The third proportional to 800,176 and 1,737,728 is: 3,773,793.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    800,176 : 1,737,728 = 1,737,728 : x
  2. Step 2: Convert to fraction form
    800,176/1,737,728 = 1,737,728/x
  3. Step 3: Cross multiply
    800,176x = 1,737,728 × 1,737,728
  4. Step 4: Simplify right side
    800,176x = 3,019,698,601,984
  5. Step 5: Solve for x
    x = 3,019,698,601,984/800,176
  6. Step 6: Final answer
    x = 3,773,793.02

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.