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Finding the Third Proportional to 1,288,705.50 and 2,544,889.50

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Solution

The third proportional to 1,288,705.50 and 2,544,889.50 is: 5,025,556.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,288,705.50 : 2,544,889.50 = 2,544,889.50 : x
  2. Step 2: Convert to fraction form
    1,288,705.50/2,544,889.50 = 2,544,889.50/x
  3. Step 3: Cross multiply
    1,288,705.50x = 2,544,889.50 × 2,544,889.50
  4. Step 4: Simplify right side
    1,288,705.50x = 6,476,462,567,210.25
  5. Step 5: Solve for x
    x = 6,476,462,567,210.25/1,288,705.50
  6. Step 6: Final answer
    x = 5,025,556.71

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.