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Finding the Third Proportional to 490,941,147 and 762,228,903

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Solution

The third proportional to 490,941,147 and 762,228,903 is: 1,183,426,779.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,941,147 : 762,228,903 = 762,228,903 : x
  2. Step 2: Convert to fraction form
    490,941,147/762,228,903 = 762,228,903/x
  3. Step 3: Cross multiply
    490,941,147x = 762,228,903 × 762,228,903
  4. Step 4: Simplify right side
    490,941,147x = 580,992,900,568,583,424
  5. Step 5: Solve for x
    x = 580,992,900,568,583,424/490,941,147
  6. Step 6: Final answer
    x = 1,183,426,779.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.