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Finding the Third Proportional to 409,107,546 and 894,741,138

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Solution

The third proportional to 409,107,546 and 894,741,138 is: 1,956,849,028.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,107,546 : 894,741,138 = 894,741,138 : x
  2. Step 2: Convert to fraction form
    409,107,546/894,741,138 = 894,741,138/x
  3. Step 3: Cross multiply
    409,107,546x = 894,741,138 × 894,741,138
  4. Step 4: Simplify right side
    409,107,546x = 800,561,704,029,535,104
  5. Step 5: Solve for x
    x = 800,561,704,029,535,104/409,107,546
  6. Step 6: Final answer
    x = 1,956,849,028.71

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.