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Finding the Third Proportional to 772,726.50 and 1,682,736.75

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Solution

The third proportional to 772,726.50 and 1,682,736.75 is: 3,664,431.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    772,726.50 : 1,682,736.75 = 1,682,736.75 : x
  2. Step 2: Convert to fraction form
    772,726.50/1,682,736.75 = 1,682,736.75/x
  3. Step 3: Cross multiply
    772,726.50x = 1,682,736.75 × 1,682,736.75
  4. Step 4: Simplify right side
    772,726.50x = 2,831,602,969,800.56
  5. Step 5: Solve for x
    x = 2,831,602,969,800.56/772,726.50
  6. Step 6: Final answer
    x = 3,664,431.04

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.