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Finding the Third Proportional to 734,197 and 1,033,927

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Solution

The third proportional to 734,197 and 1,033,927 is: 1,456,019.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    734,197 : 1,033,927 = 1,033,927 : x
  2. Step 2: Convert to fraction form
    734,197/1,033,927 = 1,033,927/x
  3. Step 3: Cross multiply
    734,197x = 1,033,927 × 1,033,927
  4. Step 4: Simplify right side
    734,197x = 1,069,005,041,329
  5. Step 5: Solve for x
    x = 1,069,005,041,329/734,197
  6. Step 6: Final answer
    x = 1,456,019.35

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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.