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Finding the Third Proportional to 1,096,677.56 and 1,704,819.66

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Solution

The third proportional to 1,096,677.56 and 1,704,819.66 is: 2,650,195.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,096,677.56 : 1,704,819.66 = 1,704,819.66 : x
  2. Step 2: Convert to fraction form
    1,096,677.56/1,704,819.66 = 1,704,819.66/x
  3. Step 3: Cross multiply
    1,096,677.56x = 1,704,819.66 × 1,704,819.66
  4. Step 4: Simplify right side
    1,096,677.56x = 2,906,410,060,336.37
  5. Step 5: Solve for x
    x = 2,906,410,060,336.37/1,096,677.56
  6. Step 6: Final answer
    x = 2,650,195.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.