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Finding the Third Proportional to 448,740 and 981,954

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Solution

The third proportional to 448,740 and 981,954 is: 2,148,757.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,740 : 981,954 = 981,954 : x
  2. Step 2: Convert to fraction form
    448,740/981,954 = 981,954/x
  3. Step 3: Cross multiply
    448,740x = 981,954 × 981,954
  4. Step 4: Simplify right side
    448,740x = 964,233,658,116
  5. Step 5: Solve for x
    x = 964,233,658,116/448,740
  6. Step 6: Final answer
    x = 2,148,757.98

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.