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Finding the Third Proportional to 984,150 and 2,152,116

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Solution

The third proportional to 984,150 and 2,152,116 is: 4,706,196.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,150 : 2,152,116 = 2,152,116 : x
  2. Step 2: Convert to fraction form
    984,150/2,152,116 = 2,152,116/x
  3. Step 3: Cross multiply
    984,150x = 2,152,116 × 2,152,116
  4. Step 4: Simplify right side
    984,150x = 4,631,603,277,456
  5. Step 5: Solve for x
    x = 4,631,603,277,456/984,150
  6. Step 6: Final answer
    x = 4,706,196.49

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.