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Finding the Third Proportional to 1,380,208 and 3,003,416

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Solution

The third proportional to 1,380,208 and 3,003,416 is: 6,535,614.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,380,208 : 3,003,416 = 3,003,416 : x
  2. Step 2: Convert to fraction form
    1,380,208/3,003,416 = 3,003,416/x
  3. Step 3: Cross multiply
    1,380,208x = 3,003,416 × 3,003,416
  4. Step 4: Simplify right side
    1,380,208x = 9,020,507,669,056
  5. Step 5: Solve for x
    x = 9,020,507,669,056/1,380,208
  6. Step 6: Final answer
    x = 6,535,614.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.