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Finding the Third Proportional to 1,847,974 and 2,764,412

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Solution

The third proportional to 1,847,974 and 2,764,412 is: 4,135,325.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,847,974 : 2,764,412 = 2,764,412 : x
  2. Step 2: Convert to fraction form
    1,847,974/2,764,412 = 2,764,412/x
  3. Step 3: Cross multiply
    1,847,974x = 2,764,412 × 2,764,412
  4. Step 4: Simplify right side
    1,847,974x = 7,641,973,705,744
  5. Step 5: Solve for x
    x = 7,641,973,705,744/1,847,974
  6. Step 6: Final answer
    x = 4,135,325.34

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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.