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Finding the Third Proportional to 451,210.50 and 981,799.88

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Solution

The third proportional to 451,210.50 and 981,799.88 is: 2,136,322.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,210.50 : 981,799.88 = 981,799.88 : x
  2. Step 2: Convert to fraction form
    451,210.50/981,799.88 = 981,799.88/x
  3. Step 3: Cross multiply
    451,210.50x = 981,799.88 × 981,799.88
  4. Step 4: Simplify right side
    451,210.50x = 963,930,994,550.02
  5. Step 5: Solve for x
    x = 963,930,994,550.02/451,210.50
  6. Step 6: Final answer
    x = 2,136,322.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.