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Finding the Third Proportional to 853,939 and 1,839,836

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Solution

The third proportional to 853,939 and 1,839,836 is: 3,963,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,939 : 1,839,836 = 1,839,836 : x
  2. Step 2: Convert to fraction form
    853,939/1,839,836 = 1,839,836/x
  3. Step 3: Cross multiply
    853,939x = 1,839,836 × 1,839,836
  4. Step 4: Simplify right side
    853,939x = 3,384,996,506,896
  5. Step 5: Solve for x
    x = 3,384,996,506,896/853,939
  6. Step 6: Final answer
    x = 3,963,979.29

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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.