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Finding the Third Proportional to 874,976 and 1,370,782

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Solution

The third proportional to 874,976 and 1,370,782 is: 2,147,536.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    874,976 : 1,370,782 = 1,370,782 : x
  2. Step 2: Convert to fraction form
    874,976/1,370,782 = 1,370,782/x
  3. Step 3: Cross multiply
    874,976x = 1,370,782 × 1,370,782
  4. Step 4: Simplify right side
    874,976x = 1,879,043,291,524
  5. Step 5: Solve for x
    x = 1,879,043,291,524/874,976
  6. Step 6: Final answer
    x = 2,147,536.95

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.