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Finding the Third Proportional to 829,096.59 and 1,757,835.84

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Solution

The third proportional to 829,096.59 and 1,757,835.84 is: 3,726,932.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,096.59 : 1,757,835.84 = 1,757,835.84 : x
  2. Step 2: Convert to fraction form
    829,096.59/1,757,835.84 = 1,757,835.84/x
  3. Step 3: Cross multiply
    829,096.59x = 1,757,835.84 × 1,757,835.84
  4. Step 4: Simplify right side
    829,096.59x = 3,089,986,853,572.27
  5. Step 5: Solve for x
    x = 3,089,986,853,572.27/829,096.59
  6. Step 6: Final answer
    x = 3,726,932.27

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.