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Finding the Third Proportional to 990,024 and 1,544,167

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Solution

The third proportional to 990,024 and 1,544,167 is: 2,408,478.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    990,024 : 1,544,167 = 1,544,167 : x
  2. Step 2: Convert to fraction form
    990,024/1,544,167 = 1,544,167/x
  3. Step 3: Cross multiply
    990,024x = 1,544,167 × 1,544,167
  4. Step 4: Simplify right side
    990,024x = 2,384,451,723,889
  5. Step 5: Solve for x
    x = 2,384,451,723,889/990,024
  6. Step 6: Final answer
    x = 2,408,478.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.