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Finding the Third Proportional to 3,535,413 and 5,405,847

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Solution

The third proportional to 3,535,413 and 5,405,847 is: 8,265,846.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,535,413 : 5,405,847 = 5,405,847 : x
  2. Step 2: Convert to fraction form
    3,535,413/5,405,847 = 5,405,847/x
  3. Step 3: Cross multiply
    3,535,413x = 5,405,847 × 5,405,847
  4. Step 4: Simplify right side
    3,535,413x = 29,223,181,787,409
  5. Step 5: Solve for x
    x = 29,223,181,787,409/3,535,413
  6. Step 6: Final answer
    x = 8,265,846.67

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.