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Finding the Third Proportional to 449,598 and 949,380

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Solution

The third proportional to 449,598 and 949,380 is: 2,004,729.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    449,598 : 949,380 = 949,380 : x
  2. Step 2: Convert to fraction form
    449,598/949,380 = 949,380/x
  3. Step 3: Cross multiply
    449,598x = 949,380 × 949,380
  4. Step 4: Simplify right side
    449,598x = 901,322,384,400
  5. Step 5: Solve for x
    x = 901,322,384,400/449,598
  6. Step 6: Final answer
    x = 2,004,729.52

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.