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Finding the Third Proportional to 529,827 and 1,135,410

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Solution

The third proportional to 529,827 and 1,135,410 is: 2,433,163.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    529,827 : 1,135,410 = 1,135,410 : x
  2. Step 2: Convert to fraction form
    529,827/1,135,410 = 1,135,410/x
  3. Step 3: Cross multiply
    529,827x = 1,135,410 × 1,135,410
  4. Step 4: Simplify right side
    529,827x = 1,289,155,868,100
  5. Step 5: Solve for x
    x = 1,289,155,868,100/529,827
  6. Step 6: Final answer
    x = 2,433,163.78

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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.