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Finding the Third Proportional to 2,182,404 and 4,738,056

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Solution

The third proportional to 2,182,404 and 4,738,056 is: 10,286,443.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182,404 : 4,738,056 = 4,738,056 : x
  2. Step 2: Convert to fraction form
    2,182,404/4,738,056 = 4,738,056/x
  3. Step 3: Cross multiply
    2,182,404x = 4,738,056 × 4,738,056
  4. Step 4: Simplify right side
    2,182,404x = 22,449,174,659,136
  5. Step 5: Solve for x
    x = 22,449,174,659,136/2,182,404
  6. Step 6: Final answer
    x = 10,286,443.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.