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Finding the Third Proportional to 734,144 and 1,033,860

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Solution

The third proportional to 734,144 and 1,033,860 is: 1,455,935.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,144 : 1,033,860 = 1,033,860 : x
  2. Step 2: Convert to fraction form
    734,144/1,033,860 = 1,033,860/x
  3. Step 3: Cross multiply
    734,144x = 1,033,860 × 1,033,860
  4. Step 4: Simplify right side
    734,144x = 1,068,866,499,600
  5. Step 5: Solve for x
    x = 1,068,866,499,600/734,144
  6. Step 6: Final answer
    x = 1,455,935.76

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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.