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Finding the Third Proportional to 836,007 and 1,280,997.75

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Solution

The third proportional to 836,007 and 1,280,997.75 is: 1,962,848.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,007 : 1,280,997.75 = 1,280,997.75 : x
  2. Step 2: Convert to fraction form
    836,007/1,280,997.75 = 1,280,997.75/x
  3. Step 3: Cross multiply
    836,007x = 1,280,997.75 × 1,280,997.75
  4. Step 4: Simplify right side
    836,007x = 1,640,955,235,505.06
  5. Step 5: Solve for x
    x = 1,640,955,235,505.06/836,007
  6. Step 6: Final answer
    x = 1,962,848.68

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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.