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Finding the Third Proportional to 571,793 and 838,591

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Solution

The third proportional to 571,793 and 838,591 is: 1,229,876.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    571,793 : 838,591 = 838,591 : x
  2. Step 2: Convert to fraction form
    571,793/838,591 = 838,591/x
  3. Step 3: Cross multiply
    571,793x = 838,591 × 838,591
  4. Step 4: Simplify right side
    571,793x = 703,234,865,281
  5. Step 5: Solve for x
    x = 703,234,865,281/571,793
  6. Step 6: Final answer
    x = 1,229,876.66

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.