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Finding the Third Proportional to 669,412 and 936,302

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Solution

The third proportional to 669,412 and 936,302 is: 1,309,599.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,412 : 936,302 = 936,302 : x
  2. Step 2: Convert to fraction form
    669,412/936,302 = 936,302/x
  3. Step 3: Cross multiply
    669,412x = 936,302 × 936,302
  4. Step 4: Simplify right side
    669,412x = 876,661,435,204
  5. Step 5: Solve for x
    x = 876,661,435,204/669,412
  6. Step 6: Final answer
    x = 1,309,599.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.