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Finding the Third Proportional to 1,738,022.50 and 2,544,815.25

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Solution

The third proportional to 1,738,022.50 and 2,544,815.25 is: 3,726,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,022.50 : 2,544,815.25 = 2,544,815.25 : x
  2. Step 2: Convert to fraction form
    1,738,022.50/2,544,815.25 = 2,544,815.25/x
  3. Step 3: Cross multiply
    1,738,022.50x = 2,544,815.25 × 2,544,815.25
  4. Step 4: Simplify right side
    1,738,022.50x = 6,476,084,656,632.56
  5. Step 5: Solve for x
    x = 6,476,084,656,632.56/1,738,022.50
  6. Step 6: Final answer
    x = 3,726,122.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.