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Finding the Third Proportional to 524,019 and 1,122,747

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Solution

The third proportional to 524,019 and 1,122,747 is: 2,405,563.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,019 : 1,122,747 = 1,122,747 : x
  2. Step 2: Convert to fraction form
    524,019/1,122,747 = 1,122,747/x
  3. Step 3: Cross multiply
    524,019x = 1,122,747 × 1,122,747
  4. Step 4: Simplify right side
    524,019x = 1,260,560,826,009
  5. Step 5: Solve for x
    x = 1,260,560,826,009/524,019
  6. Step 6: Final answer
    x = 2,405,563.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.