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Finding the Third Proportional to 726,698.25 and 1,040,225.63

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Solution

The third proportional to 726,698.25 and 1,040,225.63 is: 1,489,021.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    726,698.25 : 1,040,225.63 = 1,040,225.63 : x
  2. Step 2: Convert to fraction form
    726,698.25/1,040,225.63 = 1,040,225.63/x
  3. Step 3: Cross multiply
    726,698.25x = 1,040,225.63 × 1,040,225.63
  4. Step 4: Simplify right side
    726,698.25x = 1,082,069,350,906.64
  5. Step 5: Solve for x
    x = 1,082,069,350,906.64/726,698.25
  6. Step 6: Final answer
    x = 1,489,021.54

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.