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Finding the Third Proportional to 457,294 and 984,824

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Solution

The third proportional to 457,294 and 984,824 is: 2,120,907.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    457,294 : 984,824 = 984,824 : x
  2. Step 2: Convert to fraction form
    457,294/984,824 = 984,824/x
  3. Step 3: Cross multiply
    457,294x = 984,824 × 984,824
  4. Step 4: Simplify right side
    457,294x = 969,878,310,976
  5. Step 5: Solve for x
    x = 969,878,310,976/457,294
  6. Step 6: Final answer
    x = 2,120,907.58

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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.