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Finding the Third Proportional to 909,198 and 1,363,797

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Solution

The third proportional to 909,198 and 1,363,797 is: 2,045,695.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,198 : 1,363,797 = 1,363,797 : x
  2. Step 2: Convert to fraction form
    909,198/1,363,797 = 1,363,797/x
  3. Step 3: Cross multiply
    909,198x = 1,363,797 × 1,363,797
  4. Step 4: Simplify right side
    909,198x = 1,859,942,257,209
  5. Step 5: Solve for x
    x = 1,859,942,257,209/909,198
  6. Step 6: Final answer
    x = 2,045,695.50

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.