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Finding the Third Proportional to 2,585,028 and 5,521,932

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Solution

The third proportional to 2,585,028 and 5,521,932 is: 11,795,513.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,585,028 : 5,521,932 = 5,521,932 : x
  2. Step 2: Convert to fraction form
    2,585,028/5,521,932 = 5,521,932/x
  3. Step 3: Cross multiply
    2,585,028x = 5,521,932 × 5,521,932
  4. Step 4: Simplify right side
    2,585,028x = 30,491,733,012,624
  5. Step 5: Solve for x
    x = 30,491,733,012,624/2,585,028
  6. Step 6: Final answer
    x = 11,795,513.63

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.