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Finding the Third Proportional to 2,105,612.72 and 4,310,997.19

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Solution

The third proportional to 2,105,612.72 and 4,310,997.19 is: 8,826,265.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,105,612.72 : 4,310,997.19 = 4,310,997.19 : x
  2. Step 2: Convert to fraction form
    2,105,612.72/4,310,997.19 = 4,310,997.19/x
  3. Step 3: Cross multiply
    2,105,612.72x = 4,310,997.19 × 4,310,997.19
  4. Step 4: Simplify right side
    2,105,612.72x = 18,584,696,750,632.91
  5. Step 5: Solve for x
    x = 18,584,696,750,632.91/2,105,612.72
  6. Step 6: Final answer
    x = 8,826,265.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.