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Finding the Third Proportional to 409,107,540 and 894,741,126

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Solution

The third proportional to 409,107,540 and 894,741,126 is: 1,956,849,004.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,107,540 : 894,741,126 = 894,741,126 : x
  2. Step 2: Convert to fraction form
    409,107,540/894,741,126 = 894,741,126/x
  3. Step 3: Cross multiply
    409,107,540x = 894,741,126 × 894,741,126
  4. Step 4: Simplify right side
    409,107,540x = 800,561,682,555,747,840
  5. Step 5: Solve for x
    x = 800,561,682,555,747,840/409,107,540
  6. Step 6: Final answer
    x = 1,956,849,004.92

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Why These Related Problems?

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