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Finding the Third Proportional to 644,366.25 and 1,272,458.25

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Solution

The third proportional to 644,366.25 and 1,272,458.25 is: 2,512,779.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,366.25 : 1,272,458.25 = 1,272,458.25 : x
  2. Step 2: Convert to fraction form
    644,366.25/1,272,458.25 = 1,272,458.25/x
  3. Step 3: Cross multiply
    644,366.25x = 1,272,458.25 × 1,272,458.25
  4. Step 4: Simplify right side
    644,366.25x = 1,619,149,997,993.06
  5. Step 5: Solve for x
    x = 1,619,149,997,993.06/644,366.25
  6. Step 6: Final answer
    x = 2,512,779.03

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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.