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Finding the Third Proportional to 810,467 and 1,876,084

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Solution

The third proportional to 810,467 and 1,876,084 is: 4,342,793.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    810,467 : 1,876,084 = 1,876,084 : x
  2. Step 2: Convert to fraction form
    810,467/1,876,084 = 1,876,084/x
  3. Step 3: Cross multiply
    810,467x = 1,876,084 × 1,876,084
  4. Step 4: Simplify right side
    810,467x = 3,519,691,175,056
  5. Step 5: Solve for x
    x = 3,519,691,175,056/810,467
  6. Step 6: Final answer
    x = 4,342,793.94

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.