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Finding the Third Proportional to 446,262 and 981,097

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Solution

The third proportional to 446,262 and 981,097 is: 2,156,919.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,262 : 981,097 = 981,097 : x
  2. Step 2: Convert to fraction form
    446,262/981,097 = 981,097/x
  3. Step 3: Cross multiply
    446,262x = 981,097 × 981,097
  4. Step 4: Simplify right side
    446,262x = 962,551,323,409
  5. Step 5: Solve for x
    x = 962,551,323,409/446,262
  6. Step 6: Final answer
    x = 2,156,919.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.