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Finding the Third Proportional to 1,729,635.19 and 3,785,077.69

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Solution

The third proportional to 1,729,635.19 and 3,785,077.69 is: 8,283,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,729,635.19 : 3,785,077.69 = 3,785,077.69 : x
  2. Step 2: Convert to fraction form
    1,729,635.19/3,785,077.69 = 3,785,077.69/x
  3. Step 3: Cross multiply
    1,729,635.19x = 3,785,077.69 × 3,785,077.69
  4. Step 4: Simplify right side
    1,729,635.19x = 14,326,813,100,410.35
  5. Step 5: Solve for x
    x = 14,326,813,100,410.35/1,729,635.19
  6. Step 6: Final answer
    x = 8,283,141.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.