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Finding the Third Proportional to 1,394,925 and 2,957,267

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Solution

The third proportional to 1,394,925 and 2,957,267 is: 6,269,461.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,394,925 : 2,957,267 = 2,957,267 : x
  2. Step 2: Convert to fraction form
    1,394,925/2,957,267 = 2,957,267/x
  3. Step 3: Cross multiply
    1,394,925x = 2,957,267 × 2,957,267
  4. Step 4: Simplify right side
    1,394,925x = 8,745,428,109,289
  5. Step 5: Solve for x
    x = 8,745,428,109,289/1,394,925
  6. Step 6: Final answer
    x = 6,269,461.16

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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.