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Finding the Third Proportional to 947,052 and 1,448,766

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Solution

The third proportional to 947,052 and 1,448,766 is: 2,216,269.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    947,052 : 1,448,766 = 1,448,766 : x
  2. Step 2: Convert to fraction form
    947,052/1,448,766 = 1,448,766/x
  3. Step 3: Cross multiply
    947,052x = 1,448,766 × 1,448,766
  4. Step 4: Simplify right side
    947,052x = 2,098,922,922,756
  5. Step 5: Solve for x
    x = 2,098,922,922,756/947,052
  6. Step 6: Final answer
    x = 2,216,269.99

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.