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Finding the Third Proportional to 446,726 and 943,132

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Solution

The third proportional to 446,726 and 943,132 is: 1,991,148.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,726 : 943,132 = 943,132 : x
  2. Step 2: Convert to fraction form
    446,726/943,132 = 943,132/x
  3. Step 3: Cross multiply
    446,726x = 943,132 × 943,132
  4. Step 4: Simplify right side
    446,726x = 889,497,969,424
  5. Step 5: Solve for x
    x = 889,497,969,424/446,726
  6. Step 6: Final answer
    x = 1,991,148.87

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.