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Finding the Third Proportional to 578,005 and 1,241,228

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Solution

The third proportional to 578,005 and 1,241,228 is: 2,665,456.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    578,005 : 1,241,228 = 1,241,228 : x
  2. Step 2: Convert to fraction form
    578,005/1,241,228 = 1,241,228/x
  3. Step 3: Cross multiply
    578,005x = 1,241,228 × 1,241,228
  4. Step 4: Simplify right side
    578,005x = 1,540,646,947,984
  5. Step 5: Solve for x
    x = 1,540,646,947,984/578,005
  6. Step 6: Final answer
    x = 2,665,456.09

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.