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Finding the Third Proportional to 853,728 and 1,857,792

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Solution

The third proportional to 853,728 and 1,857,792 is: 4,042,729.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    853,728 : 1,857,792 = 1,857,792 : x
  2. Step 2: Convert to fraction form
    853,728/1,857,792 = 1,857,792/x
  3. Step 3: Cross multiply
    853,728x = 1,857,792 × 1,857,792
  4. Step 4: Simplify right side
    853,728x = 3,451,391,115,264
  5. Step 5: Solve for x
    x = 3,451,391,115,264/853,728
  6. Step 6: Final answer
    x = 4,042,729.20

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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.