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Finding the Third Proportional to 734,007 and 1,612,356

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Solution

The third proportional to 734,007 and 1,612,356 is: 3,541,780.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,007 : 1,612,356 = 1,612,356 : x
  2. Step 2: Convert to fraction form
    734,007/1,612,356 = 1,612,356/x
  3. Step 3: Cross multiply
    734,007x = 1,612,356 × 1,612,356
  4. Step 4: Simplify right side
    734,007x = 2,599,691,870,736
  5. Step 5: Solve for x
    x = 2,599,691,870,736/734,007
  6. Step 6: Final answer
    x = 3,541,780.76

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.