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Finding the Third Proportional to 463,407 and 994,611

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Solution

The third proportional to 463,407 and 994,611 is: 2,134,734.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    463,407 : 994,611 = 994,611 : x
  2. Step 2: Convert to fraction form
    463,407/994,611 = 994,611/x
  3. Step 3: Cross multiply
    463,407x = 994,611 × 994,611
  4. Step 4: Simplify right side
    463,407x = 989,251,041,321
  5. Step 5: Solve for x
    x = 989,251,041,321/463,407
  6. Step 6: Final answer
    x = 2,134,734.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.