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Finding the Third Proportional to 836,624 and 1,837,256

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Solution

The third proportional to 836,624 and 1,837,256 is: 4,034,679.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,624 : 1,837,256 = 1,837,256 : x
  2. Step 2: Convert to fraction form
    836,624/1,837,256 = 1,837,256/x
  3. Step 3: Cross multiply
    836,624x = 1,837,256 × 1,837,256
  4. Step 4: Simplify right side
    836,624x = 3,375,509,609,536
  5. Step 5: Solve for x
    x = 3,375,509,609,536/836,624
  6. Step 6: Final answer
    x = 4,034,679.39

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.