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Finding the Third Proportional to 373,538 and 863,861

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Solution

The third proportional to 373,538 and 863,861 is: 1,997,804.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    373,538 : 863,861 = 863,861 : x
  2. Step 2: Convert to fraction form
    373,538/863,861 = 863,861/x
  3. Step 3: Cross multiply
    373,538x = 863,861 × 863,861
  4. Step 4: Simplify right side
    373,538x = 746,255,827,321
  5. Step 5: Solve for x
    x = 746,255,827,321/373,538
  6. Step 6: Final answer
    x = 1,997,804.31

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.