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Finding the Third Proportional to 1,469,134.75 and 2,080,683.25

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Solution

The third proportional to 1,469,134.75 and 2,080,683.25 is: 2,946,797.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,469,134.75 : 2,080,683.25 = 2,080,683.25 : x
  2. Step 2: Convert to fraction form
    1,469,134.75/2,080,683.25 = 2,080,683.25/x
  3. Step 3: Cross multiply
    1,469,134.75x = 2,080,683.25 × 2,080,683.25
  4. Step 4: Simplify right side
    1,469,134.75x = 4,329,242,786,830.56
  5. Step 5: Solve for x
    x = 4,329,242,786,830.56/1,469,134.75
  6. Step 6: Final answer
    x = 2,946,797.62

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.