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Finding the Third Proportional to 853,938 and 1,839,834

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Solution

The third proportional to 853,938 and 1,839,834 is: 3,963,975.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,938 : 1,839,834 = 1,839,834 : x
  2. Step 2: Convert to fraction form
    853,938/1,839,834 = 1,839,834/x
  3. Step 3: Cross multiply
    853,938x = 1,839,834 × 1,839,834
  4. Step 4: Simplify right side
    853,938x = 3,384,989,147,556
  5. Step 5: Solve for x
    x = 3,384,989,147,556/853,938
  6. Step 6: Final answer
    x = 3,963,975.31

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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.