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Finding the Third Proportional to 844,942 and 1,878,793

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Solution

The third proportional to 844,942 and 1,878,793 is: 4,177,639.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,942 : 1,878,793 = 1,878,793 : x
  2. Step 2: Convert to fraction form
    844,942/1,878,793 = 1,878,793/x
  3. Step 3: Cross multiply
    844,942x = 1,878,793 × 1,878,793
  4. Step 4: Simplify right side
    844,942x = 3,529,863,136,849
  5. Step 5: Solve for x
    x = 3,529,863,136,849/844,942
  6. Step 6: Final answer
    x = 4,177,639.57

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.