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Finding the Third Proportional to 409,107,550 and 894,741,144

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Solution

The third proportional to 409,107,550 and 894,741,144 is: 1,956,849,035.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,107,550 : 894,741,144 = 894,741,144 : x
  2. Step 2: Convert to fraction form
    409,107,550/894,741,144 = 894,741,144/x
  3. Step 3: Cross multiply
    409,107,550x = 894,741,144 × 894,741,144
  4. Step 4: Simplify right side
    409,107,550x = 800,561,714,766,428,672
  5. Step 5: Solve for x
    x = 800,561,714,766,428,672/409,107,550
  6. Step 6: Final answer
    x = 1,956,849,035.83

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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.