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Finding the Third Proportional to 1,296,474 and 2,051,267

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Solution

The third proportional to 1,296,474 and 2,051,267 is: 3,245,492.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,296,474 : 2,051,267 = 2,051,267 : x
  2. Step 2: Convert to fraction form
    1,296,474/2,051,267 = 2,051,267/x
  3. Step 3: Cross multiply
    1,296,474x = 2,051,267 × 2,051,267
  4. Step 4: Simplify right side
    1,296,474x = 4,207,696,305,289
  5. Step 5: Solve for x
    x = 4,207,696,305,289/1,296,474
  6. Step 6: Final answer
    x = 3,245,492.24

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.