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Finding the Third Proportional to 836,328 and 1,780,548

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Solution

The third proportional to 836,328 and 1,780,548 is: 3,790,798.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,328 : 1,780,548 = 1,780,548 : x
  2. Step 2: Convert to fraction form
    836,328/1,780,548 = 1,780,548/x
  3. Step 3: Cross multiply
    836,328x = 1,780,548 × 1,780,548
  4. Step 4: Simplify right side
    836,328x = 3,170,351,180,304
  5. Step 5: Solve for x
    x = 3,170,351,180,304/836,328
  6. Step 6: Final answer
    x = 3,790,798.80

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.