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Finding the Third Proportional to 775,584 and 1,621,440

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Solution

The third proportional to 775,584 and 1,621,440 is: 3,389,791.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,584 : 1,621,440 = 1,621,440 : x
  2. Step 2: Convert to fraction form
    775,584/1,621,440 = 1,621,440/x
  3. Step 3: Cross multiply
    775,584x = 1,621,440 × 1,621,440
  4. Step 4: Simplify right side
    775,584x = 2,629,067,673,600
  5. Step 5: Solve for x
    x = 2,629,067,673,600/775,584
  6. Step 6: Final answer
    x = 3,389,791.01

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.