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Finding the Third Proportional to 1,028,868 and 2,256,942

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Solution

The third proportional to 1,028,868 and 2,256,942 is: 4,950,865.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,028,868 : 2,256,942 = 2,256,942 : x
  2. Step 2: Convert to fraction form
    1,028,868/2,256,942 = 2,256,942/x
  3. Step 3: Cross multiply
    1,028,868x = 2,256,942 × 2,256,942
  4. Step 4: Simplify right side
    1,028,868x = 5,093,787,191,364
  5. Step 5: Solve for x
    x = 5,093,787,191,364/1,028,868
  6. Step 6: Final answer
    x = 4,950,865.60

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.