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Finding the Third Proportional to 734,195 and 1,033,924

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Solution

The third proportional to 734,195 and 1,033,924 is: 1,456,014.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,195 : 1,033,924 = 1,033,924 : x
  2. Step 2: Convert to fraction form
    734,195/1,033,924 = 1,033,924/x
  3. Step 3: Cross multiply
    734,195x = 1,033,924 × 1,033,924
  4. Step 4: Simplify right side
    734,195x = 1,068,998,837,776
  5. Step 5: Solve for x
    x = 1,068,998,837,776/734,195
  6. Step 6: Final answer
    x = 1,456,014.87

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