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Finding the Third Proportional to 1,738,414 and 2,766,162

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Solution

The third proportional to 1,738,414 and 2,766,162 is: 4,401,513.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,738,414 : 2,766,162 = 2,766,162 : x
  2. Step 2: Convert to fraction form
    1,738,414/2,766,162 = 2,766,162/x
  3. Step 3: Cross multiply
    1,738,414x = 2,766,162 × 2,766,162
  4. Step 4: Simplify right side
    1,738,414x = 7,651,652,210,244
  5. Step 5: Solve for x
    x = 7,651,652,210,244/1,738,414
  6. Step 6: Final answer
    x = 4,401,513.22

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.