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Finding the Third Proportional to 1,374,353 and 2,097,067.50

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Solution

The third proportional to 1,374,353 and 2,097,067.50 is: 3,199,827.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,374,353 : 2,097,067.50 = 2,097,067.50 : x
  2. Step 2: Convert to fraction form
    1,374,353/2,097,067.50 = 2,097,067.50/x
  3. Step 3: Cross multiply
    1,374,353x = 2,097,067.50 × 2,097,067.50
  4. Step 4: Simplify right side
    1,374,353x = 4,397,692,099,556.25
  5. Step 5: Solve for x
    x = 4,397,692,099,556.25/1,374,353
  6. Step 6: Final answer
    x = 3,199,827.19

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.