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Finding the Third Proportional to 688,125.94 and 1,619,022.66

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Solution

The third proportional to 688,125.94 and 1,619,022.66 is: 3,809,236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    688,125.94 : 1,619,022.66 = 1,619,022.66 : x
  2. Step 2: Convert to fraction form
    688,125.94/1,619,022.66 = 1,619,022.66/x
  3. Step 3: Cross multiply
    688,125.94x = 1,619,022.66 × 1,619,022.66
  4. Step 4: Simplify right side
    688,125.94x = 2,621,234,361,450.81
  5. Step 5: Solve for x
    x = 2,621,234,361,450.81/688,125.94
  6. Step 6: Final answer
    x = 3,809,236.39

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.