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Finding the Third Proportional to 775,827,474 and 1,162,606,326

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Solution

The third proportional to 775,827,474 and 1,162,606,326 is: 1,742,208,821.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,827,474 : 1,162,606,326 = 1,162,606,326 : x
  2. Step 2: Convert to fraction form
    775,827,474/1,162,606,326 = 1,162,606,326/x
  3. Step 3: Cross multiply
    775,827,474x = 1,162,606,326 × 1,162,606,326
  4. Step 4: Simplify right side
    775,827,474x = 1,351,653,469,255,218,176
  5. Step 5: Solve for x
    x = 1,351,653,469,255,218,176/775,827,474
  6. Step 6: Final answer
    x = 1,742,208,821.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.