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Finding the Third Proportional to 524,820 and 1,150,512

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Solution

The third proportional to 524,820 and 1,150,512 is: 2,522,155.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    524,820 : 1,150,512 = 1,150,512 : x
  2. Step 2: Convert to fraction form
    524,820/1,150,512 = 1,150,512/x
  3. Step 3: Cross multiply
    524,820x = 1,150,512 × 1,150,512
  4. Step 4: Simplify right side
    524,820x = 1,323,677,862,144
  5. Step 5: Solve for x
    x = 1,323,677,862,144/524,820
  6. Step 6: Final answer
    x = 2,522,155.91

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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.