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Finding the Third Proportional to 751,742 and 1,577,293

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Solution

The third proportional to 751,742 and 1,577,293 is: 3,309,450.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    751,742 : 1,577,293 = 1,577,293 : x
  2. Step 2: Convert to fraction form
    751,742/1,577,293 = 1,577,293/x
  3. Step 3: Cross multiply
    751,742x = 1,577,293 × 1,577,293
  4. Step 4: Simplify right side
    751,742x = 2,487,853,207,849
  5. Step 5: Solve for x
    x = 2,487,853,207,849/751,742
  6. Step 6: Final answer
    x = 3,309,450.86

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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.