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Finding the Third Proportional to 1,299,813 and 2,023,286

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Solution

The third proportional to 1,299,813 and 2,023,286 is: 3,149,442.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,299,813 : 2,023,286 = 2,023,286 : x
  2. Step 2: Convert to fraction form
    1,299,813/2,023,286 = 2,023,286/x
  3. Step 3: Cross multiply
    1,299,813x = 2,023,286 × 2,023,286
  4. Step 4: Simplify right side
    1,299,813x = 4,093,686,237,796
  5. Step 5: Solve for x
    x = 4,093,686,237,796/1,299,813
  6. Step 6: Final answer
    x = 3,149,442.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.