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Finding the Third Proportional to 544,909 and 1,187,906

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Solution

The third proportional to 544,909 and 1,187,906 is: 2,589,644.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,909 : 1,187,906 = 1,187,906 : x
  2. Step 2: Convert to fraction form
    544,909/1,187,906 = 1,187,906/x
  3. Step 3: Cross multiply
    544,909x = 1,187,906 × 1,187,906
  4. Step 4: Simplify right side
    544,909x = 1,411,120,664,836
  5. Step 5: Solve for x
    x = 1,411,120,664,836/544,909
  6. Step 6: Final answer
    x = 2,589,644.63

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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.