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Finding the Third Proportional to 4,189,116 and 6,446,970

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Solution

The third proportional to 4,189,116 and 6,446,970 is: 9,921,764.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,189,116 : 6,446,970 = 6,446,970 : x
  2. Step 2: Convert to fraction form
    4,189,116/6,446,970 = 6,446,970/x
  3. Step 3: Cross multiply
    4,189,116x = 6,446,970 × 6,446,970
  4. Step 4: Simplify right side
    4,189,116x = 41,563,422,180,900
  5. Step 5: Solve for x
    x = 41,563,422,180,900/4,189,116
  6. Step 6: Final answer
    x = 9,921,764.44

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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.