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Finding the Third Proportional to 410,832 and 889,056

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Solution

The third proportional to 410,832 and 889,056 is: 1,923,950.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    410,832 : 889,056 = 889,056 : x
  2. Step 2: Convert to fraction form
    410,832/889,056 = 889,056/x
  3. Step 3: Cross multiply
    410,832x = 889,056 × 889,056
  4. Step 4: Simplify right side
    410,832x = 790,420,571,136
  5. Step 5: Solve for x
    x = 790,420,571,136/410,832
  6. Step 6: Final answer
    x = 1,923,950.84

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.