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Finding the Third Proportional to 754,004 and 1,560,496

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Solution

The third proportional to 754,004 and 1,560,496 is: 3,229,621.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    754,004 : 1,560,496 = 1,560,496 : x
  2. Step 2: Convert to fraction form
    754,004/1,560,496 = 1,560,496/x
  3. Step 3: Cross multiply
    754,004x = 1,560,496 × 1,560,496
  4. Step 4: Simplify right side
    754,004x = 2,435,147,766,016
  5. Step 5: Solve for x
    x = 2,435,147,766,016/754,004
  6. Step 6: Final answer
    x = 3,229,621.81

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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.