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Finding the Third Proportional to 3,052,296 and 6,411,744

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Solution

The third proportional to 3,052,296 and 6,411,744 is: 13,468,700.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052,296 : 6,411,744 = 6,411,744 : x
  2. Step 2: Convert to fraction form
    3,052,296/6,411,744 = 6,411,744/x
  3. Step 3: Cross multiply
    3,052,296x = 6,411,744 × 6,411,744
  4. Step 4: Simplify right side
    3,052,296x = 41,110,461,121,536
  5. Step 5: Solve for x
    x = 41,110,461,121,536/3,052,296
  6. Step 6: Final answer
    x = 13,468,700.65

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.