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Finding the Third Proportional to 705,474 and 1,064,571

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Solution

The third proportional to 705,474 and 1,064,571 is: 1,606,453.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    705,474 : 1,064,571 = 1,064,571 : x
  2. Step 2: Convert to fraction form
    705,474/1,064,571 = 1,064,571/x
  3. Step 3: Cross multiply
    705,474x = 1,064,571 × 1,064,571
  4. Step 4: Simplify right side
    705,474x = 1,133,311,414,041
  5. Step 5: Solve for x
    x = 1,133,311,414,041/705,474
  6. Step 6: Final answer
    x = 1,606,453.84

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.