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Finding the Third Proportional to 892,397 and 1,961,941

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Solution

The third proportional to 892,397 and 1,961,941 is: 4,313,340.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    892,397 : 1,961,941 = 1,961,941 : x
  2. Step 2: Convert to fraction form
    892,397/1,961,941 = 1,961,941/x
  3. Step 3: Cross multiply
    892,397x = 1,961,941 × 1,961,941
  4. Step 4: Simplify right side
    892,397x = 3,849,212,487,481
  5. Step 5: Solve for x
    x = 3,849,212,487,481/892,397
  6. Step 6: Final answer
    x = 4,313,340.91

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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.