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Finding the Third Proportional to 754,014 and 1,560,515

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Solution

The third proportional to 754,014 and 1,560,515 is: 3,229,657.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,014 : 1,560,515 = 1,560,515 : x
  2. Step 2: Convert to fraction form
    754,014/1,560,515 = 1,560,515/x
  3. Step 3: Cross multiply
    754,014x = 1,560,515 × 1,560,515
  4. Step 4: Simplify right side
    754,014x = 2,435,207,065,225
  5. Step 5: Solve for x
    x = 2,435,207,065,225/754,014
  6. Step 6: Final answer
    x = 3,229,657.63

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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.