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Finding the Third Proportional to 4,497,889.50 and 6,410,400.75

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Solution

The third proportional to 4,497,889.50 and 6,410,400.75 is: 9,136,115.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,497,889.50 : 6,410,400.75 = 6,410,400.75 : x
  2. Step 2: Convert to fraction form
    4,497,889.50/6,410,400.75 = 6,410,400.75/x
  3. Step 3: Cross multiply
    4,497,889.50x = 6,410,400.75 × 6,410,400.75
  4. Step 4: Simplify right side
    4,497,889.50x = 41,093,237,775,600.56
  5. Step 5: Solve for x
    x = 41,093,237,775,600.56/4,497,889.50
  6. Step 6: Final answer
    x = 9,136,115.45

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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.