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Finding the Third Proportional to 2,976,296 and 6,459,976

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Solution

The third proportional to 2,976,296 and 6,459,976 is: 14,021,216.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976,296 : 6,459,976 = 6,459,976 : x
  2. Step 2: Convert to fraction form
    2,976,296/6,459,976 = 6,459,976/x
  3. Step 3: Cross multiply
    2,976,296x = 6,459,976 × 6,459,976
  4. Step 4: Simplify right side
    2,976,296x = 41,731,289,920,576
  5. Step 5: Solve for x
    x = 41,731,289,920,576/2,976,296
  6. Step 6: Final answer
    x = 14,021,216.28

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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.