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Finding the Third Proportional to 469,441,469 and 1,019,524,189

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Solution

The third proportional to 469,441,469 and 1,019,524,189 is: 2,214,183,536.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,441,469 : 1,019,524,189 = 1,019,524,189 : x
  2. Step 2: Convert to fraction form
    469,441,469/1,019,524,189 = 1,019,524,189/x
  3. Step 3: Cross multiply
    469,441,469x = 1,019,524,189 × 1,019,524,189
  4. Step 4: Simplify right side
    469,441,469x = 1,039,429,571,956,107,776
  5. Step 5: Solve for x
    x = 1,039,429,571,956,107,776/469,441,469
  6. Step 6: Final answer
    x = 2,214,183,536.38

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.