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Finding the Third Proportional to 682,824 and 983,631

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Solution

The third proportional to 682,824 and 983,631 is: 1,416,953.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    682,824 : 983,631 = 983,631 : x
  2. Step 2: Convert to fraction form
    682,824/983,631 = 983,631/x
  3. Step 3: Cross multiply
    682,824x = 983,631 × 983,631
  4. Step 4: Simplify right side
    682,824x = 967,529,944,161
  5. Step 5: Solve for x
    x = 967,529,944,161/682,824
  6. Step 6: Final answer
    x = 1,416,953.63

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.