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Finding the Third Proportional to 770,960 and 1,656,738

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Solution

The third proportional to 770,960 and 1,656,738 is: 3,560,211.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    770,960 : 1,656,738 = 1,656,738 : x
  2. Step 2: Convert to fraction form
    770,960/1,656,738 = 1,656,738/x
  3. Step 3: Cross multiply
    770,960x = 1,656,738 × 1,656,738
  4. Step 4: Simplify right side
    770,960x = 2,744,780,800,644
  5. Step 5: Solve for x
    x = 2,744,780,800,644/770,960
  6. Step 6: Final answer
    x = 3,560,211.68

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.