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Finding the Third Proportional to 2,012,193 and 2,990,947.50

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Solution

The third proportional to 2,012,193 and 2,990,947.50 is: 4,445,779.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,012,193 : 2,990,947.50 = 2,990,947.50 : x
  2. Step 2: Convert to fraction form
    2,012,193/2,990,947.50 = 2,990,947.50/x
  3. Step 3: Cross multiply
    2,012,193x = 2,990,947.50 × 2,990,947.50
  4. Step 4: Simplify right side
    2,012,193x = 8,945,766,947,756.25
  5. Step 5: Solve for x
    x = 8,945,766,947,756.25/2,012,193
  6. Step 6: Final answer
    x = 4,445,779.78

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.