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Finding the Third Proportional to 984,150 and 1,476,225

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Solution

The third proportional to 984,150 and 1,476,225 is: 2,214,337.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,150 : 1,476,225 = 1,476,225 : x
  2. Step 2: Convert to fraction form
    984,150/1,476,225 = 1,476,225/x
  3. Step 3: Cross multiply
    984,150x = 1,476,225 × 1,476,225
  4. Step 4: Simplify right side
    984,150x = 2,179,240,250,625
  5. Step 5: Solve for x
    x = 2,179,240,250,625/984,150
  6. Step 6: Final answer
    x = 2,214,337.50

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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.