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Finding the Third Proportional to 902,745 and 1,961,010

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Solution

The third proportional to 902,745 and 1,961,010 is: 4,259,852.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    902,745 : 1,961,010 = 1,961,010 : x
  2. Step 2: Convert to fraction form
    902,745/1,961,010 = 1,961,010/x
  3. Step 3: Cross multiply
    902,745x = 1,961,010 × 1,961,010
  4. Step 4: Simplify right side
    902,745x = 3,845,560,220,100
  5. Step 5: Solve for x
    x = 3,845,560,220,100/902,745
  6. Step 6: Final answer
    x = 4,259,852.14

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.