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Finding the Third Proportional to 984,932 and 2,121,836

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Solution

The third proportional to 984,932 and 2,121,836 is: 4,571,064.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    984,932 : 2,121,836 = 2,121,836 : x
  2. Step 2: Convert to fraction form
    984,932/2,121,836 = 2,121,836/x
  3. Step 3: Cross multiply
    984,932x = 2,121,836 × 2,121,836
  4. Step 4: Simplify right side
    984,932x = 4,502,188,010,896
  5. Step 5: Solve for x
    x = 4,502,188,010,896/984,932
  6. Step 6: Final answer
    x = 4,571,064.82

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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.