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Finding the Third Proportional to 856,859.25 and 1,831,836.75

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Solution

The third proportional to 856,859.25 and 1,831,836.75 is: 3,916,192.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    856,859.25 : 1,831,836.75 = 1,831,836.75 : x
  2. Step 2: Convert to fraction form
    856,859.25/1,831,836.75 = 1,831,836.75/x
  3. Step 3: Cross multiply
    856,859.25x = 1,831,836.75 × 1,831,836.75
  4. Step 4: Simplify right side
    856,859.25x = 3,355,625,878,650.56
  5. Step 5: Solve for x
    x = 3,355,625,878,650.56/856,859.25
  6. Step 6: Final answer
    x = 3,916,192.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.