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Finding the Third Proportional to 1,113,414 and 1,728,333

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Solution

The third proportional to 1,113,414 and 1,728,333 is: 2,682,860.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,113,414 : 1,728,333 = 1,728,333 : x
  2. Step 2: Convert to fraction form
    1,113,414/1,728,333 = 1,728,333/x
  3. Step 3: Cross multiply
    1,113,414x = 1,728,333 × 1,728,333
  4. Step 4: Simplify right side
    1,113,414x = 2,987,134,958,889
  5. Step 5: Solve for x
    x = 2,987,134,958,889/1,113,414
  6. Step 6: Final answer
    x = 2,682,860.97

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.