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Finding the Third Proportional to 669,460 and 936,366

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Solution

The third proportional to 669,460 and 936,366 is: 1,309,684.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,460 : 936,366 = 936,366 : x
  2. Step 2: Convert to fraction form
    669,460/936,366 = 936,366/x
  3. Step 3: Cross multiply
    669,460x = 936,366 × 936,366
  4. Step 4: Simplify right side
    669,460x = 876,781,285,956
  5. Step 5: Solve for x
    x = 876,781,285,956/669,460
  6. Step 6: Final answer
    x = 1,309,684.35

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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.