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Finding the Third Proportional to 644,734.69 and 1,384,597.13

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Solution

The third proportional to 644,734.69 and 1,384,597.13 is: 2,973,485.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    644,734.69 : 1,384,597.13 = 1,384,597.13 : x
  2. Step 2: Convert to fraction form
    644,734.69/1,384,597.13 = 1,384,597.13/x
  3. Step 3: Cross multiply
    644,734.69x = 1,384,597.13 × 1,384,597.13
  4. Step 4: Simplify right side
    644,734.69x = 1,917,109,198,558.27
  5. Step 5: Solve for x
    x = 1,917,109,198,558.27/644,734.69
  6. Step 6: Final answer
    x = 2,973,485.43

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.