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Finding the Third Proportional to 4,189,108 and 6,446,958

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Solution

The third proportional to 4,189,108 and 6,446,958 is: 9,921,746.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,108 : 6,446,958 = 6,446,958 : x
  2. Step 2: Convert to fraction form
    4,189,108/6,446,958 = 6,446,958/x
  3. Step 3: Cross multiply
    4,189,108x = 6,446,958 × 6,446,958
  4. Step 4: Simplify right side
    4,189,108x = 41,563,267,453,764
  5. Step 5: Solve for x
    x = 41,563,267,453,764/4,189,108
  6. Step 6: Final answer
    x = 9,921,746.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.