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Finding the Third Proportional to 1,198,396 and 2,544,536

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Solution

The third proportional to 1,198,396 and 2,544,536 is: 5,402,774.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,396 : 2,544,536 = 2,544,536 : x
  2. Step 2: Convert to fraction form
    1,198,396/2,544,536 = 2,544,536/x
  3. Step 3: Cross multiply
    1,198,396x = 2,544,536 × 2,544,536
  4. Step 4: Simplify right side
    1,198,396x = 6,474,663,455,296
  5. Step 5: Solve for x
    x = 6,474,663,455,296/1,198,396
  6. Step 6: Final answer
    x = 5,402,774.59

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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.