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Finding the Third Proportional to 829,131.75 and 1,757,902.50

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Solution

The third proportional to 829,131.75 and 1,757,902.50 is: 3,727,056.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    829,131.75 : 1,757,902.50 = 1,757,902.50 : x
  2. Step 2: Convert to fraction form
    829,131.75/1,757,902.50 = 1,757,902.50/x
  3. Step 3: Cross multiply
    829,131.75x = 1,757,902.50 × 1,757,902.50
  4. Step 4: Simplify right side
    829,131.75x = 3,090,221,199,506.25
  5. Step 5: Solve for x
    x = 3,090,221,199,506.25/829,131.75
  6. Step 6: Final answer
    x = 3,727,056.89

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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.