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Finding the Third Proportional to 809,832 and 1,874,812

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Solution

The third proportional to 809,832 and 1,874,812 is: 4,340,307.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,832 : 1,874,812 = 1,874,812 : x
  2. Step 2: Convert to fraction form
    809,832/1,874,812 = 1,874,812/x
  3. Step 3: Cross multiply
    809,832x = 1,874,812 × 1,874,812
  4. Step 4: Simplify right side
    809,832x = 3,514,920,035,344
  5. Step 5: Solve for x
    x = 3,514,920,035,344/809,832
  6. Step 6: Final answer
    x = 4,340,307.66

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.