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Finding the Third Proportional to 1,783,923.75 and 2,543,025.38

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Solution

The third proportional to 1,783,923.75 and 2,543,025.38 is: 3,625,142.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,783,923.75 : 2,543,025.38 = 2,543,025.38 : x
  2. Step 2: Convert to fraction form
    1,783,923.75/2,543,025.38 = 2,543,025.38/x
  3. Step 3: Cross multiply
    1,783,923.75x = 2,543,025.38 × 2,543,025.38
  4. Step 4: Simplify right side
    1,783,923.75x = 6,466,978,057,893.89
  5. Step 5: Solve for x
    x = 6,466,978,057,893.89/1,783,923.75
  6. Step 6: Final answer
    x = 3,625,142.64

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.