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Finding the Third Proportional to 1,238,256 and 2,682,607.50

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Solution

The third proportional to 1,238,256 and 2,682,607.50 is: 5,811,708.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,238,256 : 2,682,607.50 = 2,682,607.50 : x
  2. Step 2: Convert to fraction form
    1,238,256/2,682,607.50 = 2,682,607.50/x
  3. Step 3: Cross multiply
    1,238,256x = 2,682,607.50 × 2,682,607.50
  4. Step 4: Simplify right side
    1,238,256x = 7,196,382,999,056.25
  5. Step 5: Solve for x
    x = 7,196,382,999,056.25/1,238,256
  6. Step 6: Final answer
    x = 5,811,708.56

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.