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Finding the Third Proportional to 1,287,740 and 2,543,050

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Solution

The third proportional to 1,287,740 and 2,543,050 is: 5,022,056.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,287,740 : 2,543,050 = 2,543,050 : x
  2. Step 2: Convert to fraction form
    1,287,740/2,543,050 = 2,543,050/x
  3. Step 3: Cross multiply
    1,287,740x = 2,543,050 × 2,543,050
  4. Step 4: Simplify right side
    1,287,740x = 6,467,103,302,500
  5. Step 5: Solve for x
    x = 6,467,103,302,500/1,287,740
  6. Step 6: Final answer
    x = 5,022,056.71

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These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.