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Finding the Third Proportional to 853,569 and 1,864,626

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Solution

The third proportional to 853,569 and 1,864,626 is: 4,073,285.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,569 : 1,864,626 = 1,864,626 : x
  2. Step 2: Convert to fraction form
    853,569/1,864,626 = 1,864,626/x
  3. Step 3: Cross multiply
    853,569x = 1,864,626 × 1,864,626
  4. Step 4: Simplify right side
    853,569x = 3,476,830,119,876
  5. Step 5: Solve for x
    x = 3,476,830,119,876/853,569
  6. Step 6: Final answer
    x = 4,073,285.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.