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Finding the Third Proportional to 1,018,256 and 2,010,814

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Solution

The third proportional to 1,018,256 and 2,010,814 is: 3,970,880.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,018,256 : 2,010,814 = 2,010,814 : x
  2. Step 2: Convert to fraction form
    1,018,256/2,010,814 = 2,010,814/x
  3. Step 3: Cross multiply
    1,018,256x = 2,010,814 × 2,010,814
  4. Step 4: Simplify right side
    1,018,256x = 4,043,372,942,596
  5. Step 5: Solve for x
    x = 4,043,372,942,596/1,018,256
  6. Step 6: Final answer
    x = 3,970,880.55

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.