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Finding the Third Proportional to 1,198,080 and 2,606,100

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Solution

The third proportional to 1,198,080 and 2,606,100 is: 5,668,867.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,080 : 2,606,100 = 2,606,100 : x
  2. Step 2: Convert to fraction form
    1,198,080/2,606,100 = 2,606,100/x
  3. Step 3: Cross multiply
    1,198,080x = 2,606,100 × 2,606,100
  4. Step 4: Simplify right side
    1,198,080x = 6,791,757,210,000
  5. Step 5: Solve for x
    x = 6,791,757,210,000/1,198,080
  6. Step 6: Final answer
    x = 5,668,867.86

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.