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Finding the Third Proportional to 656,573 and 984,857

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Solution

The third proportional to 656,573 and 984,857 is: 1,477,281.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    656,573 : 984,857 = 984,857 : x
  2. Step 2: Convert to fraction form
    656,573/984,857 = 984,857/x
  3. Step 3: Cross multiply
    656,573x = 984,857 × 984,857
  4. Step 4: Simplify right side
    656,573x = 969,943,310,449
  5. Step 5: Solve for x
    x = 969,943,310,449/656,573
  6. Step 6: Final answer
    x = 1,477,281.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.