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Finding the Third Proportional to 628,912 and 967,838

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Solution

The third proportional to 628,912 and 967,838 is: 1,489,414.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    628,912 : 967,838 = 967,838 : x
  2. Step 2: Convert to fraction form
    628,912/967,838 = 967,838/x
  3. Step 3: Cross multiply
    628,912x = 967,838 × 967,838
  4. Step 4: Simplify right side
    628,912x = 936,710,394,244
  5. Step 5: Solve for x
    x = 936,710,394,244/628,912
  6. Step 6: Final answer
    x = 1,489,414.09

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.