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Finding the Third Proportional to 996,378 and 1,586,198

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Solution

The third proportional to 996,378 and 1,586,198 is: 2,525,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    996,378 : 1,586,198 = 1,586,198 : x
  2. Step 2: Convert to fraction form
    996,378/1,586,198 = 1,586,198/x
  3. Step 3: Cross multiply
    996,378x = 1,586,198 × 1,586,198
  4. Step 4: Simplify right side
    996,378x = 2,516,024,095,204
  5. Step 5: Solve for x
    x = 2,516,024,095,204/996,378
  6. Step 6: Final answer
    x = 2,525,170.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.