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Finding the Third Proportional to 1,394,922 and 2,957,265

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Solution

The third proportional to 1,394,922 and 2,957,265 is: 6,269,466.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,922 : 2,957,265 = 2,957,265 : x
  2. Step 2: Convert to fraction form
    1,394,922/2,957,265 = 2,957,265/x
  3. Step 3: Cross multiply
    1,394,922x = 2,957,265 × 2,957,265
  4. Step 4: Simplify right side
    1,394,922x = 8,745,416,280,225
  5. Step 5: Solve for x
    x = 8,745,416,280,225/1,394,922
  6. Step 6: Final answer
    x = 6,269,466.16

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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.