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Finding the Third Proportional to 1,538,987 and 2,299,867

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Solution

The third proportional to 1,538,987 and 2,299,867 is: 3,436,928.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,538,987 : 2,299,867 = 2,299,867 : x
  2. Step 2: Convert to fraction form
    1,538,987/2,299,867 = 2,299,867/x
  3. Step 3: Cross multiply
    1,538,987x = 2,299,867 × 2,299,867
  4. Step 4: Simplify right side
    1,538,987x = 5,289,388,217,689
  5. Step 5: Solve for x
    x = 5,289,388,217,689/1,538,987
  6. Step 6: Final answer
    x = 3,436,928.46

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.