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Finding the Third Proportional to 892,542 and 1,961,412

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Solution

The third proportional to 892,542 and 1,961,412 is: 4,310,314.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,542 : 1,961,412 = 1,961,412 : x
  2. Step 2: Convert to fraction form
    892,542/1,961,412 = 1,961,412/x
  3. Step 3: Cross multiply
    892,542x = 1,961,412 × 1,961,412
  4. Step 4: Simplify right side
    892,542x = 3,847,137,033,744
  5. Step 5: Solve for x
    x = 3,847,137,033,744/892,542
  6. Step 6: Final answer
    x = 4,310,314.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.