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Finding the Third Proportional to 2,051,272 and 3,184,416

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Solution

The third proportional to 2,051,272 and 3,184,416 is: 4,943,520.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,051,272 : 3,184,416 = 3,184,416 : x
  2. Step 2: Convert to fraction form
    2,051,272/3,184,416 = 3,184,416/x
  3. Step 3: Cross multiply
    2,051,272x = 3,184,416 × 3,184,416
  4. Step 4: Simplify right side
    2,051,272x = 10,140,505,261,056
  5. Step 5: Solve for x
    x = 10,140,505,261,056/2,051,272
  6. Step 6: Final answer
    x = 4,943,520.54

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Why These Related Problems?

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