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Finding the Third Proportional to 2,365,674.75 and 3,544,576.31

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Solution

The third proportional to 2,365,674.75 and 3,544,576.31 is: 5,310,967.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,365,674.75 : 3,544,576.31 = 3,544,576.31 : x
  2. Step 2: Convert to fraction form
    2,365,674.75/3,544,576.31 = 3,544,576.31/x
  3. Step 3: Cross multiply
    2,365,674.75x = 3,544,576.31 × 3,544,576.31
  4. Step 4: Simplify right side
    2,365,674.75x = 12,564,021,235,136.10
  5. Step 5: Solve for x
    x = 12,564,021,235,136.10/2,365,674.75
  6. Step 6: Final answer
    x = 5,310,967.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.