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Finding the Third Proportional to 766,811.81 and 1,612,947.94

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Solution

The third proportional to 766,811.81 and 1,612,947.94 is: 3,392,750.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    766,811.81 : 1,612,947.94 = 1,612,947.94 : x
  2. Step 2: Convert to fraction form
    766,811.81/1,612,947.94 = 1,612,947.94/x
  3. Step 3: Cross multiply
    766,811.81x = 1,612,947.94 × 1,612,947.94
  4. Step 4: Simplify right side
    766,811.81x = 2,601,601,049,085.50
  5. Step 5: Solve for x
    x = 2,601,601,049,085.50/766,811.81
  6. Step 6: Final answer
    x = 3,392,750.36

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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.