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Finding the Third Proportional to 1,738,024 and 2,544,817

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Solution

The third proportional to 1,738,024 and 2,544,817 is: 3,726,124.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,024 : 2,544,817 = 2,544,817 : x
  2. Step 2: Convert to fraction form
    1,738,024/2,544,817 = 2,544,817/x
  3. Step 3: Cross multiply
    1,738,024x = 2,544,817 × 2,544,817
  4. Step 4: Simplify right side
    1,738,024x = 6,476,093,563,489
  5. Step 5: Solve for x
    x = 6,476,093,563,489/1,738,024
  6. Step 6: Final answer
    x = 3,726,124.36

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.