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Finding the Third Proportional to 769,128.75 and 1,194,010.88

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Solution

The third proportional to 769,128.75 and 1,194,010.88 is: 1,853,606.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    769,128.75 : 1,194,010.88 = 1,194,010.88 : x
  2. Step 2: Convert to fraction form
    769,128.75/1,194,010.88 = 1,194,010.88/x
  3. Step 3: Cross multiply
    769,128.75x = 1,194,010.88 × 1,194,010.88
  4. Step 4: Simplify right side
    769,128.75x = 1,425,661,969,618.27
  5. Step 5: Solve for x
    x = 1,425,661,969,618.27/769,128.75
  6. Step 6: Final answer
    x = 1,853,606.40

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.