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Finding the Third Proportional to 769,088 and 1,651,936

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Solution

The third proportional to 769,088 and 1,651,936 is: 3,548,218.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,088 : 1,651,936 = 1,651,936 : x
  2. Step 2: Convert to fraction form
    769,088/1,651,936 = 1,651,936/x
  3. Step 3: Cross multiply
    769,088x = 1,651,936 × 1,651,936
  4. Step 4: Simplify right side
    769,088x = 2,728,892,548,096
  5. Step 5: Solve for x
    x = 2,728,892,548,096/769,088
  6. Step 6: Final answer
    x = 3,548,218.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.