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Finding the Third Proportional to 836,228 and 1,780,336

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Solution

The third proportional to 836,228 and 1,780,336 is: 3,790,349.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,228 : 1,780,336 = 1,780,336 : x
  2. Step 2: Convert to fraction form
    836,228/1,780,336 = 1,780,336/x
  3. Step 3: Cross multiply
    836,228x = 1,780,336 × 1,780,336
  4. Step 4: Simplify right side
    836,228x = 3,169,596,272,896
  5. Step 5: Solve for x
    x = 3,169,596,272,896/836,228
  6. Step 6: Final answer
    x = 3,790,349.37

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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.