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Finding the Third Proportional to 853,564 and 1,864,616

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Solution

The third proportional to 853,564 and 1,864,616 is: 4,073,265.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,564 : 1,864,616 = 1,864,616 : x
  2. Step 2: Convert to fraction form
    853,564/1,864,616 = 1,864,616/x
  3. Step 3: Cross multiply
    853,564x = 1,864,616 × 1,864,616
  4. Step 4: Simplify right side
    853,564x = 3,476,792,827,456
  5. Step 5: Solve for x
    x = 3,476,792,827,456/853,564
  6. Step 6: Final answer
    x = 4,073,265.54

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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.