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Finding the Third Proportional to 493,672,586 and 1,028,206,152

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Solution

The third proportional to 493,672,586 and 1,028,206,152 is: 2,141,516,302.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,672,586 : 1,028,206,152 = 1,028,206,152 : x
  2. Step 2: Convert to fraction form
    493,672,586/1,028,206,152 = 1,028,206,152/x
  3. Step 3: Cross multiply
    493,672,586x = 1,028,206,152 × 1,028,206,152
  4. Step 4: Simplify right side
    493,672,586x = 1,057,207,891,010,647,040
  5. Step 5: Solve for x
    x = 1,057,207,891,010,647,040/493,672,586
  6. Step 6: Final answer
    x = 2,141,516,302.49

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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.