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Finding the Third Proportional to 605,469 and 1,368,231

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Solution

The third proportional to 605,469 and 1,368,231 is: 3,091,910.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    605,469 : 1,368,231 = 1,368,231 : x
  2. Step 2: Convert to fraction form
    605,469/1,368,231 = 1,368,231/x
  3. Step 3: Cross multiply
    605,469x = 1,368,231 × 1,368,231
  4. Step 4: Simplify right side
    605,469x = 1,872,056,069,361
  5. Step 5: Solve for x
    x = 1,872,056,069,361/605,469
  6. Step 6: Final answer
    x = 3,091,910.68

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.