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Finding the Third Proportional to 1,159,183.41 and 2,511,430.31

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Solution

The third proportional to 1,159,183.41 and 2,511,430.31 is: 5,441,142.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,159,183.41 : 2,511,430.31 = 2,511,430.31 : x
  2. Step 2: Convert to fraction form
    1,159,183.41/2,511,430.31 = 2,511,430.31/x
  3. Step 3: Cross multiply
    1,159,183.41x = 2,511,430.31 × 2,511,430.31
  4. Step 4: Simplify right side
    1,159,183.41x = 6,307,282,214,543.85
  5. Step 5: Solve for x
    x = 6,307,282,214,543.85/1,159,183.41
  6. Step 6: Final answer
    x = 5,441,142.60

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.