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Finding the Third Proportional to 1,198,574 and 2,575,021

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Solution

The third proportional to 1,198,574 and 2,575,021 is: 5,532,185.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,574 : 2,575,021 = 2,575,021 : x
  2. Step 2: Convert to fraction form
    1,198,574/2,575,021 = 2,575,021/x
  3. Step 3: Cross multiply
    1,198,574x = 2,575,021 × 2,575,021
  4. Step 4: Simplify right side
    1,198,574x = 6,630,733,150,441
  5. Step 5: Solve for x
    x = 6,630,733,150,441/1,198,574
  6. Step 6: Final answer
    x = 5,532,185.04

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.