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Finding the Third Proportional to 964,932 and 2,058,112

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Solution

The third proportional to 964,932 and 2,058,112 is: 4,389,765.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    964,932 : 2,058,112 = 2,058,112 : x
  2. Step 2: Convert to fraction form
    964,932/2,058,112 = 2,058,112/x
  3. Step 3: Cross multiply
    964,932x = 2,058,112 × 2,058,112
  4. Step 4: Simplify right side
    964,932x = 4,235,825,004,544
  5. Step 5: Solve for x
    x = 4,235,825,004,544/964,932
  6. Step 6: Final answer
    x = 4,389,765.29

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.