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Finding the Third Proportional to 1,800,724.50 and 2,746,818.75

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Solution

The third proportional to 1,800,724.50 and 2,746,818.75 is: 4,189,987.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800,724.50 : 2,746,818.75 = 2,746,818.75 : x
  2. Step 2: Convert to fraction form
    1,800,724.50/2,746,818.75 = 2,746,818.75/x
  3. Step 3: Cross multiply
    1,800,724.50x = 2,746,818.75 × 2,746,818.75
  4. Step 4: Simplify right side
    1,800,724.50x = 7,545,013,245,351.56
  5. Step 5: Solve for x
    x = 7,545,013,245,351.56/1,800,724.50
  6. Step 6: Final answer
    x = 4,189,987.56

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.