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Finding the Third Proportional to 533,067 and 1,258,387

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Solution

The third proportional to 533,067 and 1,258,387 is: 2,970,616.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    533,067 : 1,258,387 = 1,258,387 : x
  2. Step 2: Convert to fraction form
    533,067/1,258,387 = 1,258,387/x
  3. Step 3: Cross multiply
    533,067x = 1,258,387 × 1,258,387
  4. Step 4: Simplify right side
    533,067x = 1,583,537,841,769
  5. Step 5: Solve for x
    x = 1,583,537,841,769/533,067
  6. Step 6: Final answer
    x = 2,970,616.91

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.