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Finding the Third Proportional to 747,954 and 1,621,296

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Solution

The third proportional to 747,954 and 1,621,296 is: 3,514,388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    747,954 : 1,621,296 = 1,621,296 : x
  2. Step 2: Convert to fraction form
    747,954/1,621,296 = 1,621,296/x
  3. Step 3: Cross multiply
    747,954x = 1,621,296 × 1,621,296
  4. Step 4: Simplify right side
    747,954x = 2,628,600,719,616
  5. Step 5: Solve for x
    x = 2,628,600,719,616/747,954
  6. Step 6: Final answer
    x = 3,514,388.21

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.