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Finding the Third Proportional to 476,598,154 and 1,028,473,172

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Solution

The third proportional to 476,598,154 and 1,028,473,172 is: 2,219,389,766.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    476,598,154 : 1,028,473,172 = 1,028,473,172 : x
  2. Step 2: Convert to fraction form
    476,598,154/1,028,473,172 = 1,028,473,172/x
  3. Step 3: Cross multiply
    476,598,154x = 1,028,473,172 × 1,028,473,172
  4. Step 4: Simplify right side
    476,598,154x = 1,057,757,065,523,741,568
  5. Step 5: Solve for x
    x = 1,057,757,065,523,741,568/476,598,154
  6. Step 6: Final answer
    x = 2,219,389,766.09

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.