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Finding the Third Proportional to 1,752,556.50 and 2,647,788.75

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Solution

The third proportional to 1,752,556.50 and 2,647,788.75 is: 4,000,319.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,752,556.50 : 2,647,788.75 = 2,647,788.75 : x
  2. Step 2: Convert to fraction form
    1,752,556.50/2,647,788.75 = 2,647,788.75/x
  3. Step 3: Cross multiply
    1,752,556.50x = 2,647,788.75 × 2,647,788.75
  4. Step 4: Simplify right side
    1,752,556.50x = 7,010,785,264,626.56
  5. Step 5: Solve for x
    x = 7,010,785,264,626.56/1,752,556.50
  6. Step 6: Final answer
    x = 4,000,319.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.