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Finding the Third Proportional to 2,040,665 and 2,949,933

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Solution

The third proportional to 2,040,665 and 2,949,933 is: 4,264,347.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,040,665 : 2,949,933 = 2,949,933 : x
  2. Step 2: Convert to fraction form
    2,040,665/2,949,933 = 2,949,933/x
  3. Step 3: Cross multiply
    2,040,665x = 2,949,933 × 2,949,933
  4. Step 4: Simplify right side
    2,040,665x = 8,702,104,704,489
  5. Step 5: Solve for x
    x = 8,702,104,704,489/2,040,665
  6. Step 6: Final answer
    x = 4,264,347.51

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.