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Finding the Third Proportional to 2,051,231 and 3,184,361

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Solution

The third proportional to 2,051,231 and 3,184,361 is: 4,943,448.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,231 : 3,184,361 = 3,184,361 : x
  2. Step 2: Convert to fraction form
    2,051,231/3,184,361 = 3,184,361/x
  3. Step 3: Cross multiply
    2,051,231x = 3,184,361 × 3,184,361
  4. Step 4: Simplify right side
    2,051,231x = 10,140,154,978,321
  5. Step 5: Solve for x
    x = 10,140,154,978,321/2,051,231
  6. Step 6: Final answer
    x = 4,943,448.58

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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.