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Finding the Third Proportional to 457,085 and 984,410

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Solution

The third proportional to 457,085 and 984,410 is: 2,120,093.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,085 : 984,410 = 984,410 : x
  2. Step 2: Convert to fraction form
    457,085/984,410 = 984,410/x
  3. Step 3: Cross multiply
    457,085x = 984,410 × 984,410
  4. Step 4: Simplify right side
    457,085x = 969,063,048,100
  5. Step 5: Solve for x
    x = 969,063,048,100/457,085
  6. Step 6: Final answer
    x = 2,120,093.74

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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.