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Finding the Third Proportional to 534,235 and 1,151,414

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Solution

The third proportional to 534,235 and 1,151,414 is: 2,481,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    534,235 : 1,151,414 = 1,151,414 : x
  2. Step 2: Convert to fraction form
    534,235/1,151,414 = 1,151,414/x
  3. Step 3: Cross multiply
    534,235x = 1,151,414 × 1,151,414
  4. Step 4: Simplify right side
    534,235x = 1,325,754,199,396
  5. Step 5: Solve for x
    x = 1,325,754,199,396/534,235
  6. Step 6: Final answer
    x = 2,481,593.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.