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Finding the Third Proportional to 775,011 and 1,702,788

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Solution

The third proportional to 775,011 and 1,702,788 is: 3,741,220.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,011 : 1,702,788 = 1,702,788 : x
  2. Step 2: Convert to fraction form
    775,011/1,702,788 = 1,702,788/x
  3. Step 3: Cross multiply
    775,011x = 1,702,788 × 1,702,788
  4. Step 4: Simplify right side
    775,011x = 2,899,486,972,944
  5. Step 5: Solve for x
    x = 2,899,486,972,944/775,011
  6. Step 6: Final answer
    x = 3,741,220.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.