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Finding the Third Proportional to 853,906 and 1,839,761

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Solution

The third proportional to 853,906 and 1,839,761 is: 3,963,809.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,906 : 1,839,761 = 1,839,761 : x
  2. Step 2: Convert to fraction form
    853,906/1,839,761 = 1,839,761/x
  3. Step 3: Cross multiply
    853,906x = 1,839,761 × 1,839,761
  4. Step 4: Simplify right side
    853,906x = 3,384,720,537,121
  5. Step 5: Solve for x
    x = 3,384,720,537,121/853,906
  6. Step 6: Final answer
    x = 3,963,809.29

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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.