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Finding the Third Proportional to 455,980 and 984,536

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Solution

The third proportional to 455,980 and 984,536 is: 2,125,775.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,980 : 984,536 = 984,536 : x
  2. Step 2: Convert to fraction form
    455,980/984,536 = 984,536/x
  3. Step 3: Cross multiply
    455,980x = 984,536 × 984,536
  4. Step 4: Simplify right side
    455,980x = 969,311,135,296
  5. Step 5: Solve for x
    x = 969,311,135,296/455,980
  6. Step 6: Final answer
    x = 2,125,775.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.