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Finding the Third Proportional to 944,000 and 2,045,408

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Solution

The third proportional to 944,000 and 2,045,408 is: 4,431,879.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    944,000 : 2,045,408 = 2,045,408 : x
  2. Step 2: Convert to fraction form
    944,000/2,045,408 = 2,045,408/x
  3. Step 3: Cross multiply
    944,000x = 2,045,408 × 2,045,408
  4. Step 4: Simplify right side
    944,000x = 4,183,693,886,464
  5. Step 5: Solve for x
    x = 4,183,693,886,464/944,000
  6. Step 6: Final answer
    x = 4,431,879.12

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.