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Finding the Third Proportional to 984,898 and 2,116,916

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Solution

The third proportional to 984,898 and 2,116,916 is: 4,550,048.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,898 : 2,116,916 = 2,116,916 : x
  2. Step 2: Convert to fraction form
    984,898/2,116,916 = 2,116,916/x
  3. Step 3: Cross multiply
    984,898x = 2,116,916 × 2,116,916
  4. Step 4: Simplify right side
    984,898x = 4,481,333,351,056
  5. Step 5: Solve for x
    x = 4,481,333,351,056/984,898
  6. Step 6: Final answer
    x = 4,550,048.18

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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.