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Finding the Third Proportional to 469,441,467 and 1,019,524,185

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Solution

The third proportional to 469,441,467 and 1,019,524,185 is: 2,214,183,528.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,441,467 : 1,019,524,185 = 1,019,524,185 : x
  2. Step 2: Convert to fraction form
    469,441,467/1,019,524,185 = 1,019,524,185/x
  3. Step 3: Cross multiply
    469,441,467x = 1,019,524,185 × 1,019,524,185
  4. Step 4: Simplify right side
    469,441,467x = 1,039,429,563,799,914,240
  5. Step 5: Solve for x
    x = 1,039,429,563,799,914,240/469,441,467
  6. Step 6: Final answer
    x = 2,214,183,528.44

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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.