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Finding the Third Proportional to 1,394,498 and 2,945,668

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Solution

The third proportional to 1,394,498 and 2,945,668 is: 6,222,282.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,498 : 2,945,668 = 2,945,668 : x
  2. Step 2: Convert to fraction form
    1,394,498/2,945,668 = 2,945,668/x
  3. Step 3: Cross multiply
    1,394,498x = 2,945,668 × 2,945,668
  4. Step 4: Simplify right side
    1,394,498x = 8,676,959,966,224
  5. Step 5: Solve for x
    x = 8,676,959,966,224/1,394,498
  6. Step 6: Final answer
    x = 6,222,282.12

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.