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Finding the Third Proportional to 544,125 and 1,166,874

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Solution

The third proportional to 544,125 and 1,166,874 is: 2,502,356.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    544,125 : 1,166,874 = 1,166,874 : x
  2. Step 2: Convert to fraction form
    544,125/1,166,874 = 1,166,874/x
  3. Step 3: Cross multiply
    544,125x = 1,166,874 × 1,166,874
  4. Step 4: Simplify right side
    544,125x = 1,361,594,931,876
  5. Step 5: Solve for x
    x = 1,361,594,931,876/544,125
  6. Step 6: Final answer
    x = 2,502,356.87

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.