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Finding the Third Proportional to 751,723 and 1,577,256

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Solution

The third proportional to 751,723 and 1,577,256 is: 3,309,379.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,723 : 1,577,256 = 1,577,256 : x
  2. Step 2: Convert to fraction form
    751,723/1,577,256 = 1,577,256/x
  3. Step 3: Cross multiply
    751,723x = 1,577,256 × 1,577,256
  4. Step 4: Simplify right side
    751,723x = 2,487,736,489,536
  5. Step 5: Solve for x
    x = 2,487,736,489,536/751,723
  6. Step 6: Final answer
    x = 3,309,379.24

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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.