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Finding the Third Proportional to 467,548 and 1,022,576

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Solution

The third proportional to 467,548 and 1,022,576 is: 2,236,479.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    467,548 : 1,022,576 = 1,022,576 : x
  2. Step 2: Convert to fraction form
    467,548/1,022,576 = 1,022,576/x
  3. Step 3: Cross multiply
    467,548x = 1,022,576 × 1,022,576
  4. Step 4: Simplify right side
    467,548x = 1,045,661,675,776
  5. Step 5: Solve for x
    x = 1,045,661,675,776/467,548
  6. Step 6: Final answer
    x = 2,236,479.84

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.