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Finding the Third Proportional to 754,009 and 1,560,505

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Solution

The third proportional to 754,009 and 1,560,505 is: 3,229,637.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,009 : 1,560,505 = 1,560,505 : x
  2. Step 2: Convert to fraction form
    754,009/1,560,505 = 1,560,505/x
  3. Step 3: Cross multiply
    754,009x = 1,560,505 × 1,560,505
  4. Step 4: Simplify right side
    754,009x = 2,435,175,855,025
  5. Step 5: Solve for x
    x = 2,435,175,855,025/754,009
  6. Step 6: Final answer
    x = 3,229,637.65

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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.