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Finding the Third Proportional to 836,331 and 1,780,554

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Solution

The third proportional to 836,331 and 1,780,554 is: 3,790,810.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,331 : 1,780,554 = 1,780,554 : x
  2. Step 2: Convert to fraction form
    836,331/1,780,554 = 1,780,554/x
  3. Step 3: Cross multiply
    836,331x = 1,780,554 × 1,780,554
  4. Step 4: Simplify right side
    836,331x = 3,170,372,546,916
  5. Step 5: Solve for x
    x = 3,170,372,546,916/836,331
  6. Step 6: Final answer
    x = 3,790,810.75

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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.