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Finding the Third Proportional to 1,782,067 and 2,574,780

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Solution

The third proportional to 1,782,067 and 2,574,780 is: 3,720,113.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782,067 : 2,574,780 = 2,574,780 : x
  2. Step 2: Convert to fraction form
    1,782,067/2,574,780 = 2,574,780/x
  3. Step 3: Cross multiply
    1,782,067x = 2,574,780 × 2,574,780
  4. Step 4: Simplify right side
    1,782,067x = 6,629,492,048,400
  5. Step 5: Solve for x
    x = 6,629,492,048,400/1,782,067
  6. Step 6: Final answer
    x = 3,720,113.81

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.