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Finding the Third Proportional to 1,074,384 and 1,611,576

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Solution

The third proportional to 1,074,384 and 1,611,576 is: 2,417,364

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,074,384 : 1,611,576 = 1,611,576 : x
  2. Step 2: Convert to fraction form
    1,074,384/1,611,576 = 1,611,576/x
  3. Step 3: Cross multiply
    1,074,384x = 1,611,576 × 1,611,576
  4. Step 4: Simplify right side
    1,074,384x = 2,597,177,203,776
  5. Step 5: Solve for x
    x = 2,597,177,203,776/1,074,384
  6. Step 6: Final answer
    x = 2,417,364

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.