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Finding the Third Proportional to 1,534,234.50 and 3,230,219.25

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Solution

The third proportional to 1,534,234.50 and 3,230,219.25 is: 6,800,991.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,534,234.50 : 3,230,219.25 = 3,230,219.25 : x
  2. Step 2: Convert to fraction form
    1,534,234.50/3,230,219.25 = 3,230,219.25/x
  3. Step 3: Cross multiply
    1,534,234.50x = 3,230,219.25 × 3,230,219.25
  4. Step 4: Simplify right side
    1,534,234.50x = 10,434,316,403,070.56
  5. Step 5: Solve for x
    x = 10,434,316,403,070.56/1,534,234.50
  6. Step 6: Final answer
    x = 6,800,991.90

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.