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Finding the Third Proportional to 1,603,335.50 and 2,407,087.25

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Solution

The third proportional to 1,603,335.50 and 2,407,087.25 is: 3,613,759.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,603,335.50 : 2,407,087.25 = 2,407,087.25 : x
  2. Step 2: Convert to fraction form
    1,603,335.50/2,407,087.25 = 2,407,087.25/x
  3. Step 3: Cross multiply
    1,603,335.50x = 2,407,087.25 × 2,407,087.25
  4. Step 4: Simplify right side
    1,603,335.50x = 5,794,069,029,112.56
  5. Step 5: Solve for x
    x = 5,794,069,029,112.56/1,603,335.50
  6. Step 6: Final answer
    x = 3,613,759.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.