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Finding the Third Proportional to 839,814.50 and 1,275,274

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Solution

The third proportional to 839,814.50 and 1,275,274 is: 1,936,527.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    839,814.50 : 1,275,274 = 1,275,274 : x
  2. Step 2: Convert to fraction form
    839,814.50/1,275,274 = 1,275,274/x
  3. Step 3: Cross multiply
    839,814.50x = 1,275,274 × 1,275,274
  4. Step 4: Simplify right side
    839,814.50x = 1,626,323,775,076
  5. Step 5: Solve for x
    x = 1,626,323,775,076/839,814.50
  6. Step 6: Final answer
    x = 1,936,527.38

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.