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Finding the Third Proportional to 641,494 and 896,848

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Solution

The third proportional to 641,494 and 896,848 is: 1,253,848.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,494 : 896,848 = 896,848 : x
  2. Step 2: Convert to fraction form
    641,494/896,848 = 896,848/x
  3. Step 3: Cross multiply
    641,494x = 896,848 × 896,848
  4. Step 4: Simplify right side
    641,494x = 804,336,335,104
  5. Step 5: Solve for x
    x = 804,336,335,104/641,494
  6. Step 6: Final answer
    x = 1,253,848.57

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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.