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Finding the Third Proportional to 844,770 and 1,749,425

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Solution

The third proportional to 844,770 and 1,749,425 is: 3,622,865.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    844,770 : 1,749,425 = 1,749,425 : x
  2. Step 2: Convert to fraction form
    844,770/1,749,425 = 1,749,425/x
  3. Step 3: Cross multiply
    844,770x = 1,749,425 × 1,749,425
  4. Step 4: Simplify right side
    844,770x = 3,060,487,830,625
  5. Step 5: Solve for x
    x = 3,060,487,830,625/844,770
  6. Step 6: Final answer
    x = 3,622,865.19

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.