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Finding the Third Proportional to 669,824 and 936,923

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Solution

The third proportional to 669,824 and 936,923 is: 1,310,530.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,824 : 936,923 = 936,923 : x
  2. Step 2: Convert to fraction form
    669,824/936,923 = 936,923/x
  3. Step 3: Cross multiply
    669,824x = 936,923 × 936,923
  4. Step 4: Simplify right side
    669,824x = 877,824,707,929
  5. Step 5: Solve for x
    x = 877,824,707,929/669,824
  6. Step 6: Final answer
    x = 1,310,530.39

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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.