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Finding the Third Proportional to 2,760,914 and 5,655,676

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Solution

The third proportional to 2,760,914 and 5,655,676 is: 11,585,536.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,760,914 : 5,655,676 = 5,655,676 : x
  2. Step 2: Convert to fraction form
    2,760,914/5,655,676 = 5,655,676/x
  3. Step 3: Cross multiply
    2,760,914x = 5,655,676 × 5,655,676
  4. Step 4: Simplify right side
    2,760,914x = 31,986,671,016,976
  5. Step 5: Solve for x
    x = 31,986,671,016,976/2,760,914
  6. Step 6: Final answer
    x = 11,585,536.90

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.