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Finding the Third Proportional to 2,367,075 and 5,177,004

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Solution

The third proportional to 2,367,075 and 5,177,004 is: 11,322,569.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,367,075 : 5,177,004 = 5,177,004 : x
  2. Step 2: Convert to fraction form
    2,367,075/5,177,004 = 5,177,004/x
  3. Step 3: Cross multiply
    2,367,075x = 5,177,004 × 5,177,004
  4. Step 4: Simplify right side
    2,367,075x = 26,801,370,416,016
  5. Step 5: Solve for x
    x = 26,801,370,416,016/2,367,075
  6. Step 6: Final answer
    x = 11,322,569.17

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.