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Finding the Third Proportional to 524,816 and 1,150,504

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Solution

The third proportional to 524,816 and 1,150,504 is: 2,522,140.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,816 : 1,150,504 = 1,150,504 : x
  2. Step 2: Convert to fraction form
    524,816/1,150,504 = 1,150,504/x
  3. Step 3: Cross multiply
    524,816x = 1,150,504 × 1,150,504
  4. Step 4: Simplify right side
    524,816x = 1,323,659,454,016
  5. Step 5: Solve for x
    x = 1,323,659,454,016/524,816
  6. Step 6: Final answer
    x = 2,522,140.05

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.