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Finding the Third Proportional to 446,852 and 957,672

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Solution

The third proportional to 446,852 and 957,672 is: 2,052,437.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,852 : 957,672 = 957,672 : x
  2. Step 2: Convert to fraction form
    446,852/957,672 = 957,672/x
  3. Step 3: Cross multiply
    446,852x = 957,672 × 957,672
  4. Step 4: Simplify right side
    446,852x = 917,135,659,584
  5. Step 5: Solve for x
    x = 917,135,659,584/446,852
  6. Step 6: Final answer
    x = 2,052,437.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.