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Finding the Third Proportional to 734,193 and 1,033,921

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Solution

The third proportional to 734,193 and 1,033,921 is: 1,456,010.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,193 : 1,033,921 = 1,033,921 : x
  2. Step 2: Convert to fraction form
    734,193/1,033,921 = 1,033,921/x
  3. Step 3: Cross multiply
    734,193x = 1,033,921 × 1,033,921
  4. Step 4: Simplify right side
    734,193x = 1,068,992,634,241
  5. Step 5: Solve for x
    x = 1,068,992,634,241/734,193
  6. Step 6: Final answer
    x = 1,456,010.39

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.