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Finding the Third Proportional to 481,376 and 1,043,021

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Solution

The third proportional to 481,376 and 1,043,021 is: 2,259,964.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,376 : 1,043,021 = 1,043,021 : x
  2. Step 2: Convert to fraction form
    481,376/1,043,021 = 1,043,021/x
  3. Step 3: Cross multiply
    481,376x = 1,043,021 × 1,043,021
  4. Step 4: Simplify right side
    481,376x = 1,087,892,806,441
  5. Step 5: Solve for x
    x = 1,087,892,806,441/481,376
  6. Step 6: Final answer
    x = 2,259,964.78

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Why These Related Problems?

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