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Finding the Third Proportional to 461,994,956.44 and 704,628,783.91

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Solution

The third proportional to 461,994,956.44 and 704,628,783.91 is: 1,074,690,786.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    461,994,956.44 : 704,628,783.91 = 704,628,783.91 : x
  2. Step 2: Convert to fraction form
    461,994,956.44/704,628,783.91 = 704,628,783.91/x
  3. Step 3: Cross multiply
    461,994,956.44x = 704,628,783.91 × 704,628,783.91
  4. Step 4: Simplify right side
    461,994,956.44x = 496,501,723,120,192,960
  5. Step 5: Solve for x
    x = 496,501,723,120,192,960/461,994,956.44
  6. Step 6: Final answer
    x = 1,074,690,786.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.