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Finding the Third Proportional to 446,048 and 962,080

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Solution

The third proportional to 446,048 and 962,080 is: 2,075,108.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,048 : 962,080 = 962,080 : x
  2. Step 2: Convert to fraction form
    446,048/962,080 = 962,080/x
  3. Step 3: Cross multiply
    446,048x = 962,080 × 962,080
  4. Step 4: Simplify right side
    446,048x = 925,597,926,400
  5. Step 5: Solve for x
    x = 925,597,926,400/446,048
  6. Step 6: Final answer
    x = 2,075,108.34

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.