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Finding the Third Proportional to 481,947 and 1,058,484

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Solution

The third proportional to 481,947 and 1,058,484 is: 2,324,712.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    481,947 : 1,058,484 = 1,058,484 : x
  2. Step 2: Convert to fraction form
    481,947/1,058,484 = 1,058,484/x
  3. Step 3: Cross multiply
    481,947x = 1,058,484 × 1,058,484
  4. Step 4: Simplify right side
    481,947x = 1,120,388,378,256
  5. Step 5: Solve for x
    x = 1,120,388,378,256/481,947
  6. Step 6: Final answer
    x = 2,324,712.84

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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.