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Finding the Third Proportional to 405,634,424 and 885,600,496

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Solution

The third proportional to 405,634,424 and 885,600,496 is: 1,933,485,404.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,634,424 : 885,600,496 = 885,600,496 : x
  2. Step 2: Convert to fraction form
    405,634,424/885,600,496 = 885,600,496/x
  3. Step 3: Cross multiply
    405,634,424x = 885,600,496 × 885,600,496
  4. Step 4: Simplify right side
    405,634,424x = 784,288,238,515,446,016
  5. Step 5: Solve for x
    x = 784,288,238,515,446,016/405,634,424
  6. Step 6: Final answer
    x = 1,933,485,404.87

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.