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Finding the Third Proportional to 641,560 and 896,936

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Solution

The third proportional to 641,560 and 896,936 is: 1,253,965.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,560 : 896,936 = 896,936 : x
  2. Step 2: Convert to fraction form
    641,560/896,936 = 896,936/x
  3. Step 3: Cross multiply
    641,560x = 896,936 × 896,936
  4. Step 4: Simplify right side
    641,560x = 804,494,188,096
  5. Step 5: Solve for x
    x = 804,494,188,096/641,560
  6. Step 6: Final answer
    x = 1,253,965.63

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.