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Finding the Third Proportional to 759,500 and 1,792,876

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Solution

The third proportional to 759,500 and 1,792,876 is: 4,232,263.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,500 : 1,792,876 = 1,792,876 : x
  2. Step 2: Convert to fraction form
    759,500/1,792,876 = 1,792,876/x
  3. Step 3: Cross multiply
    759,500x = 1,792,876 × 1,792,876
  4. Step 4: Simplify right side
    759,500x = 3,214,404,351,376
  5. Step 5: Solve for x
    x = 3,214,404,351,376/759,500
  6. Step 6: Final answer
    x = 4,232,263.79

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.