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Finding the Third Proportional to 448,744 and 981,962

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Solution

The third proportional to 448,744 and 981,962 is: 2,148,773.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    448,744 : 981,962 = 981,962 : x
  2. Step 2: Convert to fraction form
    448,744/981,962 = 981,962/x
  3. Step 3: Cross multiply
    448,744x = 981,962 × 981,962
  4. Step 4: Simplify right side
    448,744x = 964,249,369,444
  5. Step 5: Solve for x
    x = 964,249,369,444/448,744
  6. Step 6: Final answer
    x = 2,148,773.84

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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.