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Finding the Third Proportional to 1,239,450 and 2,627,724

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Solution

The third proportional to 1,239,450 and 2,627,724 is: 5,570,965.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,239,450 : 2,627,724 = 2,627,724 : x
  2. Step 2: Convert to fraction form
    1,239,450/2,627,724 = 2,627,724/x
  3. Step 3: Cross multiply
    1,239,450x = 2,627,724 × 2,627,724
  4. Step 4: Simplify right side
    1,239,450x = 6,904,933,420,176
  5. Step 5: Solve for x
    x = 6,904,933,420,176/1,239,450
  6. Step 6: Final answer
    x = 5,570,965.69

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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.