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Finding the Third Proportional to 524,814 and 1,150,500

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Solution

The third proportional to 524,814 and 1,150,500 is: 2,522,132.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,814 : 1,150,500 = 1,150,500 : x
  2. Step 2: Convert to fraction form
    524,814/1,150,500 = 1,150,500/x
  3. Step 3: Cross multiply
    524,814x = 1,150,500 × 1,150,500
  4. Step 4: Simplify right side
    524,814x = 1,323,650,250,000
  5. Step 5: Solve for x
    x = 1,323,650,250,000/524,814
  6. Step 6: Final answer
    x = 2,522,132.13

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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.