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Finding the Third Proportional to 940,478 and 1,408,524

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Solution

The third proportional to 940,478 and 1,408,524 is: 2,109,501.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    940,478 : 1,408,524 = 1,408,524 : x
  2. Step 2: Convert to fraction form
    940,478/1,408,524 = 1,408,524/x
  3. Step 3: Cross multiply
    940,478x = 1,408,524 × 1,408,524
  4. Step 4: Simplify right side
    940,478x = 1,983,939,858,576
  5. Step 5: Solve for x
    x = 1,983,939,858,576/940,478
  6. Step 6: Final answer
    x = 2,109,501.61

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.