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Finding the Third Proportional to 2,051,219 and 3,184,343

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Solution

The third proportional to 2,051,219 and 3,184,343 is: 4,943,421.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,219 : 3,184,343 = 3,184,343 : x
  2. Step 2: Convert to fraction form
    2,051,219/3,184,343 = 3,184,343/x
  3. Step 3: Cross multiply
    2,051,219x = 3,184,343 × 3,184,343
  4. Step 4: Simplify right side
    2,051,219x = 10,140,040,341,649
  5. Step 5: Solve for x
    x = 10,140,040,341,649/2,051,219
  6. Step 6: Final answer
    x = 4,943,421.61

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.