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Finding the Third Proportional to 394,578 and 869,590

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Solution

The third proportional to 394,578 and 869,590 is: 1,916,444.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    394,578 : 869,590 = 869,590 : x
  2. Step 2: Convert to fraction form
    394,578/869,590 = 869,590/x
  3. Step 3: Cross multiply
    394,578x = 869,590 × 869,590
  4. Step 4: Simplify right side
    394,578x = 756,186,768,100
  5. Step 5: Solve for x
    x = 756,186,768,100/394,578
  6. Step 6: Final answer
    x = 1,916,444.32

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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.