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Finding the Third Proportional to 1,945,408 and 3,107,831

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Solution

The third proportional to 1,945,408 and 3,107,831 is: 4,964,826.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,945,408 : 3,107,831 = 3,107,831 : x
  2. Step 2: Convert to fraction form
    1,945,408/3,107,831 = 3,107,831/x
  3. Step 3: Cross multiply
    1,945,408x = 3,107,831 × 3,107,831
  4. Step 4: Simplify right side
    1,945,408x = 9,658,613,524,561
  5. Step 5: Solve for x
    x = 9,658,613,524,561/1,945,408
  6. Step 6: Final answer
    x = 4,964,826.67

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.