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Finding the Third Proportional to 3,436,546.50 and 6,786,342

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Solution

The third proportional to 3,436,546.50 and 6,786,342 is: 13,401,371.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436,546.50 : 6,786,342 = 6,786,342 : x
  2. Step 2: Convert to fraction form
    3,436,546.50/6,786,342 = 6,786,342/x
  3. Step 3: Cross multiply
    3,436,546.50x = 6,786,342 × 6,786,342
  4. Step 4: Simplify right side
    3,436,546.50x = 46,054,437,740,964
  5. Step 5: Solve for x
    x = 46,054,437,740,964/3,436,546.50
  6. Step 6: Final answer
    x = 13,401,371.91

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.