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Finding the Third Proportional to 1,682,444.25 and 2,539,090.13

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Solution

The third proportional to 1,682,444.25 and 2,539,090.13 is: 3,831,912.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,682,444.25 : 2,539,090.13 = 2,539,090.13 : x
  2. Step 2: Convert to fraction form
    1,682,444.25/2,539,090.13 = 2,539,090.13/x
  3. Step 3: Cross multiply
    1,682,444.25x = 2,539,090.13 × 2,539,090.13
  4. Step 4: Simplify right side
    1,682,444.25x = 6,446,978,662,872.52
  5. Step 5: Solve for x
    x = 6,446,978,662,872.52/1,682,444.25
  6. Step 6: Final answer
    x = 3,831,912.21

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.