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Finding the Third Proportional to 493,410 and 1,062,954

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Solution

The third proportional to 493,410 and 1,062,954 is: 2,289,923.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    493,410 : 1,062,954 = 1,062,954 : x
  2. Step 2: Convert to fraction form
    493,410/1,062,954 = 1,062,954/x
  3. Step 3: Cross multiply
    493,410x = 1,062,954 × 1,062,954
  4. Step 4: Simplify right side
    493,410x = 1,129,871,206,116
  5. Step 5: Solve for x
    x = 1,129,871,206,116/493,410
  6. Step 6: Final answer
    x = 2,289,923.61

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.