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Finding the Third Proportional to 493,672,549 and 1,028,206,082

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Solution

The third proportional to 493,672,549 and 1,028,206,082 is: 2,141,516,171.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,672,549 : 1,028,206,082 = 1,028,206,082 : x
  2. Step 2: Convert to fraction form
    493,672,549/1,028,206,082 = 1,028,206,082/x
  3. Step 3: Cross multiply
    493,672,549x = 1,028,206,082 × 1,028,206,082
  4. Step 4: Simplify right side
    493,672,549x = 1,057,207,747,061,790,720
  5. Step 5: Solve for x
    x = 1,057,207,747,061,790,720/493,672,549
  6. Step 6: Final answer
    x = 2,141,516,171.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.