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Finding the Third Proportional to 836,696 and 1,280,172

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Solution

The third proportional to 836,696 and 1,280,172 is: 1,958,704.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,696 : 1,280,172 = 1,280,172 : x
  2. Step 2: Convert to fraction form
    836,696/1,280,172 = 1,280,172/x
  3. Step 3: Cross multiply
    836,696x = 1,280,172 × 1,280,172
  4. Step 4: Simplify right side
    836,696x = 1,638,840,349,584
  5. Step 5: Solve for x
    x = 1,638,840,349,584/836,696
  6. Step 6: Final answer
    x = 1,958,704.65

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.