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Finding the Third Proportional to 1,052,421.75 and 1,694,909.25

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Solution

The third proportional to 1,052,421.75 and 1,694,909.25 is: 2,729,625.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,052,421.75 : 1,694,909.25 = 1,694,909.25 : x
  2. Step 2: Convert to fraction form
    1,052,421.75/1,694,909.25 = 1,694,909.25/x
  3. Step 3: Cross multiply
    1,052,421.75x = 1,694,909.25 × 1,694,909.25
  4. Step 4: Simplify right side
    1,052,421.75x = 2,872,717,365,735.56
  5. Step 5: Solve for x
    x = 2,872,717,365,735.56/1,052,421.75
  6. Step 6: Final answer
    x = 2,729,625.61

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.