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Finding the Third Proportional to 831,080.25 and 1,789,278.75

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Solution

The third proportional to 831,080.25 and 1,789,278.75 is: 3,852,237.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    831,080.25 : 1,789,278.75 = 1,789,278.75 : x
  2. Step 2: Convert to fraction form
    831,080.25/1,789,278.75 = 1,789,278.75/x
  3. Step 3: Cross multiply
    831,080.25x = 1,789,278.75 × 1,789,278.75
  4. Step 4: Simplify right side
    831,080.25x = 3,201,518,445,201.56
  5. Step 5: Solve for x
    x = 3,201,518,445,201.56/831,080.25
  6. Step 6: Final answer
    x = 3,852,237.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.