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Finding the Third Proportional to 830,995.50 and 1,786,131

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Solution

The third proportional to 830,995.50 and 1,786,131 is: 3,839,086.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,995.50 : 1,786,131 = 1,786,131 : x
  2. Step 2: Convert to fraction form
    830,995.50/1,786,131 = 1,786,131/x
  3. Step 3: Cross multiply
    830,995.50x = 1,786,131 × 1,786,131
  4. Step 4: Simplify right side
    830,995.50x = 3,190,263,949,161
  5. Step 5: Solve for x
    x = 3,190,263,949,161/830,995.50
  6. Step 6: Final answer
    x = 3,839,086.91

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.