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Finding the Third Proportional to 446,294 and 981,040

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Solution

The third proportional to 446,294 and 981,040 is: 2,156,514.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    446,294 : 981,040 = 981,040 : x
  2. Step 2: Convert to fraction form
    446,294/981,040 = 981,040/x
  3. Step 3: Cross multiply
    446,294x = 981,040 × 981,040
  4. Step 4: Simplify right side
    446,294x = 962,439,481,600
  5. Step 5: Solve for x
    x = 962,439,481,600/446,294
  6. Step 6: Final answer
    x = 2,156,514.50

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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.