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Finding the Third Proportional to 691,794 and 883,953

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Solution

The third proportional to 691,794 and 883,953 is: 1,129,487.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    691,794 : 883,953 = 883,953 : x
  2. Step 2: Convert to fraction form
    691,794/883,953 = 883,953/x
  3. Step 3: Cross multiply
    691,794x = 883,953 × 883,953
  4. Step 4: Simplify right side
    691,794x = 781,372,906,209
  5. Step 5: Solve for x
    x = 781,372,906,209/691,794
  6. Step 6: Final answer
    x = 1,129,487.83

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.