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Finding the Third Proportional to 2,608,697.25 and 3,430,425

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Solution

The third proportional to 2,608,697.25 and 3,430,425 is: 4,510,993.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,608,697.25 : 3,430,425 = 3,430,425 : x
  2. Step 2: Convert to fraction form
    2,608,697.25/3,430,425 = 3,430,425/x
  3. Step 3: Cross multiply
    2,608,697.25x = 3,430,425 × 3,430,425
  4. Step 4: Simplify right side
    2,608,697.25x = 11,767,815,680,625
  5. Step 5: Solve for x
    x = 11,767,815,680,625/2,608,697.25
  6. Step 6: Final answer
    x = 4,510,993.25

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.