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Finding the Third Proportional to 2,529,994.50 and 4,023,761.06

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Solution

The third proportional to 2,529,994.50 and 4,023,761.06 is: 6,399,481.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,529,994.50 : 4,023,761.06 = 4,023,761.06 : x
  2. Step 2: Convert to fraction form
    2,529,994.50/4,023,761.06 = 4,023,761.06/x
  3. Step 3: Cross multiply
    2,529,994.50x = 4,023,761.06 × 4,023,761.06
  4. Step 4: Simplify right side
    2,529,994.50x = 16,190,653,088,091.13
  5. Step 5: Solve for x
    x = 16,190,653,088,091.13/2,529,994.50
  6. Step 6: Final answer
    x = 6,399,481.54

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.