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Finding the Third Proportional to 547,029 and 1,189,809

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Solution

The third proportional to 547,029 and 1,189,809 is: 2,587,880.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    547,029 : 1,189,809 = 1,189,809 : x
  2. Step 2: Convert to fraction form
    547,029/1,189,809 = 1,189,809/x
  3. Step 3: Cross multiply
    547,029x = 1,189,809 × 1,189,809
  4. Step 4: Simplify right side
    547,029x = 1,415,645,456,481
  5. Step 5: Solve for x
    x = 1,415,645,456,481/547,029
  6. Step 6: Final answer
    x = 2,587,880.09

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.