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Finding the Third Proportional to 1,263,977 and 1,788,489

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Solution

The third proportional to 1,263,977 and 1,788,489 is: 2,530,657.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,263,977 : 1,788,489 = 1,788,489 : x
  2. Step 2: Convert to fraction form
    1,263,977/1,788,489 = 1,788,489/x
  3. Step 3: Cross multiply
    1,263,977x = 1,788,489 × 1,788,489
  4. Step 4: Simplify right side
    1,263,977x = 3,198,692,903,121
  5. Step 5: Solve for x
    x = 3,198,692,903,121/1,263,977
  6. Step 6: Final answer
    x = 2,530,657.52

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.