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Finding the Third Proportional to 1,940,274.50 and 4,081,658

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Solution

The third proportional to 1,940,274.50 and 4,081,658 is: 8,586,378.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,940,274.50 : 4,081,658 = 4,081,658 : x
  2. Step 2: Convert to fraction form
    1,940,274.50/4,081,658 = 4,081,658/x
  3. Step 3: Cross multiply
    1,940,274.50x = 4,081,658 × 4,081,658
  4. Step 4: Simplify right side
    1,940,274.50x = 16,659,932,028,964
  5. Step 5: Solve for x
    x = 16,659,932,028,964/1,940,274.50
  6. Step 6: Final answer
    x = 8,586,378.90

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.