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Finding the Third Proportional to 1,684,441 and 2,591,720.75

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Solution

The third proportional to 1,684,441 and 2,591,720.75 is: 3,987,682.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,684,441 : 2,591,720.75 = 2,591,720.75 : x
  2. Step 2: Convert to fraction form
    1,684,441/2,591,720.75 = 2,591,720.75/x
  3. Step 3: Cross multiply
    1,684,441x = 2,591,720.75 × 2,591,720.75
  4. Step 4: Simplify right side
    1,684,441x = 6,717,016,445,980.56
  5. Step 5: Solve for x
    x = 6,717,016,445,980.56/1,684,441
  6. Step 6: Final answer
    x = 3,987,682.83

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.