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Finding the Third Proportional to 687,204.50 and 1,393,741

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Solution

The third proportional to 687,204.50 and 1,393,741 is: 2,826,689.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,204.50 : 1,393,741 = 1,393,741 : x
  2. Step 2: Convert to fraction form
    687,204.50/1,393,741 = 1,393,741/x
  3. Step 3: Cross multiply
    687,204.50x = 1,393,741 × 1,393,741
  4. Step 4: Simplify right side
    687,204.50x = 1,942,513,975,081
  5. Step 5: Solve for x
    x = 1,942,513,975,081/687,204.50
  6. Step 6: Final answer
    x = 2,826,689.84

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.