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Finding the Third Proportional to 770,961 and 1,656,739.50

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Solution

The third proportional to 770,961 and 1,656,739.50 is: 3,560,213.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,961 : 1,656,739.50 = 1,656,739.50 : x
  2. Step 2: Convert to fraction form
    770,961/1,656,739.50 = 1,656,739.50/x
  3. Step 3: Cross multiply
    770,961x = 1,656,739.50 × 1,656,739.50
  4. Step 4: Simplify right side
    770,961x = 2,744,785,770,860.25
  5. Step 5: Solve for x
    x = 2,744,785,770,860.25/770,961
  6. Step 6: Final answer
    x = 3,560,213.51

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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.