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Finding the Third Proportional to 1,879,824 and 3,973,947

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Solution

The third proportional to 1,879,824 and 3,973,947 is: 8,400,921.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,879,824 : 3,973,947 = 3,973,947 : x
  2. Step 2: Convert to fraction form
    1,879,824/3,973,947 = 3,973,947/x
  3. Step 3: Cross multiply
    1,879,824x = 3,973,947 × 3,973,947
  4. Step 4: Simplify right side
    1,879,824x = 15,792,254,758,809
  5. Step 5: Solve for x
    x = 15,792,254,758,809/1,879,824
  6. Step 6: Final answer
    x = 8,400,921.98

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.