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Finding the Third Proportional to 2,235,966 and 4,825,984

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Solution

The third proportional to 2,235,966 and 4,825,984 is: 10,416,134.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,235,966 : 4,825,984 = 4,825,984 : x
  2. Step 2: Convert to fraction form
    2,235,966/4,825,984 = 4,825,984/x
  3. Step 3: Cross multiply
    2,235,966x = 4,825,984 × 4,825,984
  4. Step 4: Simplify right side
    2,235,966x = 23,290,121,568,256
  5. Step 5: Solve for x
    x = 23,290,121,568,256/2,235,966
  6. Step 6: Final answer
    x = 10,416,134.04

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.