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Finding the Third Proportional to 648,920.25 and 1,397,684.25

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Solution

The third proportional to 648,920.25 and 1,397,684.25 is: 3,010,418.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    648,920.25 : 1,397,684.25 = 1,397,684.25 : x
  2. Step 2: Convert to fraction form
    648,920.25/1,397,684.25 = 1,397,684.25/x
  3. Step 3: Cross multiply
    648,920.25x = 1,397,684.25 × 1,397,684.25
  4. Step 4: Simplify right side
    648,920.25x = 1,953,521,262,698.06
  5. Step 5: Solve for x
    x = 1,953,521,262,698.06/648,920.25
  6. Step 6: Final answer
    x = 3,010,418.09

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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.