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Finding the Third Proportional to 1,800,721.50 and 2,746,814.25

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Solution

The third proportional to 1,800,721.50 and 2,746,814.25 is: 4,189,980.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,800,721.50 : 2,746,814.25 = 2,746,814.25 : x
  2. Step 2: Convert to fraction form
    1,800,721.50/2,746,814.25 = 2,746,814.25/x
  3. Step 3: Cross multiply
    1,800,721.50x = 2,746,814.25 × 2,746,814.25
  4. Step 4: Simplify right side
    1,800,721.50x = 7,544,988,524,003.06
  5. Step 5: Solve for x
    x = 7,544,988,524,003.06/1,800,721.50
  6. Step 6: Final answer
    x = 4,189,980.81

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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.