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Finding the Third Proportional to 383,094 and 823,842

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Solution

The third proportional to 383,094 and 823,842 is: 1,771,668.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    383,094 : 823,842 = 823,842 : x
  2. Step 2: Convert to fraction form
    383,094/823,842 = 823,842/x
  3. Step 3: Cross multiply
    383,094x = 823,842 × 823,842
  4. Step 4: Simplify right side
    383,094x = 678,715,640,964
  5. Step 5: Solve for x
    x = 678,715,640,964/383,094
  6. Step 6: Final answer
    x = 1,771,668.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.