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Finding the Third Proportional to 423,910.13 and 914,235.19

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Solution

The third proportional to 423,910.13 and 914,235.19 is: 1,971,705.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,910.13 : 914,235.19 = 914,235.19 : x
  2. Step 2: Convert to fraction form
    423,910.13/914,235.19 = 914,235.19/x
  3. Step 3: Cross multiply
    423,910.13x = 914,235.19 × 914,235.19
  4. Step 4: Simplify right side
    423,910.13x = 835,825,978,063.16
  5. Step 5: Solve for x
    x = 835,825,978,063.16/423,910.13
  6. Step 6: Final answer
    x = 1,971,705.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.