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Finding the Third Proportional to 1,198,424 and 2,544,592

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Solution

The third proportional to 1,198,424 and 2,544,592 is: 5,402,886.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,424 : 2,544,592 = 2,544,592 : x
  2. Step 2: Convert to fraction form
    1,198,424/2,544,592 = 2,544,592/x
  3. Step 3: Cross multiply
    1,198,424x = 2,544,592 × 2,544,592
  4. Step 4: Simplify right side
    1,198,424x = 6,474,948,446,464
  5. Step 5: Solve for x
    x = 6,474,948,446,464/1,198,424
  6. Step 6: Final answer
    x = 5,402,886.16

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.