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Finding the Third Proportional to 589,113 and 1,283,198

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Solution

The third proportional to 589,113 and 1,283,198 is: 2,795,044.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,113 : 1,283,198 = 1,283,198 : x
  2. Step 2: Convert to fraction form
    589,113/1,283,198 = 1,283,198/x
  3. Step 3: Cross multiply
    589,113x = 1,283,198 × 1,283,198
  4. Step 4: Simplify right side
    589,113x = 1,646,597,107,204
  5. Step 5: Solve for x
    x = 1,646,597,107,204/589,113
  6. Step 6: Final answer
    x = 2,795,044.60

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.