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Finding the Third Proportional to 854,453,785 and 1,754,204,714

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Solution

The third proportional to 854,453,785 and 1,754,204,714 is: 3,601,405,052.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    854,453,785 : 1,754,204,714 = 1,754,204,714 : x
  2. Step 2: Convert to fraction form
    854,453,785/1,754,204,714 = 1,754,204,714/x
  3. Step 3: Cross multiply
    854,453,785x = 1,754,204,714 × 1,754,204,714
  4. Step 4: Simplify right side
    854,453,785x = 3,077,234,178,619,821,568
  5. Step 5: Solve for x
    x = 3,077,234,178,619,821,568/854,453,785
  6. Step 6: Final answer
    x = 3,601,405,052.73

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.