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Finding the Third Proportional to 557,478 and 1,186,884

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Solution

The third proportional to 557,478 and 1,186,884 is: 2,526,904.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    557,478 : 1,186,884 = 1,186,884 : x
  2. Step 2: Convert to fraction form
    557,478/1,186,884 = 1,186,884/x
  3. Step 3: Cross multiply
    557,478x = 1,186,884 × 1,186,884
  4. Step 4: Simplify right side
    557,478x = 1,408,693,629,456
  5. Step 5: Solve for x
    x = 1,408,693,629,456/557,478
  6. Step 6: Final answer
    x = 2,526,904.43

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.