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Finding the Third Proportional to 984,896 and 2,116,912

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Solution

The third proportional to 984,896 and 2,116,912 is: 4,550,040.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,896 : 2,116,912 = 2,116,912 : x
  2. Step 2: Convert to fraction form
    984,896/2,116,912 = 2,116,912/x
  3. Step 3: Cross multiply
    984,896x = 2,116,912 × 2,116,912
  4. Step 4: Simplify right side
    984,896x = 4,481,316,415,744
  5. Step 5: Solve for x
    x = 4,481,316,415,744/984,896
  6. Step 6: Final answer
    x = 4,550,040.22

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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.