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Finding the Third Proportional to 448,740 and 959,736

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Solution

The third proportional to 448,740 and 959,736 is: 2,052,621.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,740 : 959,736 = 959,736 : x
  2. Step 2: Convert to fraction form
    448,740/959,736 = 959,736/x
  3. Step 3: Cross multiply
    448,740x = 959,736 × 959,736
  4. Step 4: Simplify right side
    448,740x = 921,093,189,696
  5. Step 5: Solve for x
    x = 921,093,189,696/448,740
  6. Step 6: Final answer
    x = 2,052,621.09

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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.