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Finding the Third Proportional to 1,198,394 and 2,544,532

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Solution

The third proportional to 1,198,394 and 2,544,532 is: 5,402,766.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,198,394 : 2,544,532 = 2,544,532 : x
  2. Step 2: Convert to fraction form
    1,198,394/2,544,532 = 2,544,532/x
  3. Step 3: Cross multiply
    1,198,394x = 2,544,532 × 2,544,532
  4. Step 4: Simplify right side
    1,198,394x = 6,474,643,099,024
  5. Step 5: Solve for x
    x = 6,474,643,099,024/1,198,394
  6. Step 6: Final answer
    x = 5,402,766.62

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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.