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Finding the Third Proportional to 648,911.25 and 1,397,658.38

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Solution

The third proportional to 648,911.25 and 1,397,658.38 is: 3,010,348.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,911.25 : 1,397,658.38 = 1,397,658.38 : x
  2. Step 2: Convert to fraction form
    648,911.25/1,397,658.38 = 1,397,658.38/x
  3. Step 3: Cross multiply
    648,911.25x = 1,397,658.38 × 1,397,658.38
  4. Step 4: Simplify right side
    648,911.25x = 1,953,448,933,207.64
  5. Step 5: Solve for x
    x = 1,953,448,933,207.64/648,911.25
  6. Step 6: Final answer
    x = 3,010,348.38

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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.