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Finding the Third Proportional to 722,608 and 1,573,907

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Solution

The third proportional to 722,608 and 1,573,907 is: 3,428,114.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,608 : 1,573,907 = 1,573,907 : x
  2. Step 2: Convert to fraction form
    722,608/1,573,907 = 1,573,907/x
  3. Step 3: Cross multiply
    722,608x = 1,573,907 × 1,573,907
  4. Step 4: Simplify right side
    722,608x = 2,477,183,244,649
  5. Step 5: Solve for x
    x = 2,477,183,244,649/722,608
  6. Step 6: Final answer
    x = 3,428,114.89

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.