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Finding the Third Proportional to 759,628.13 and 1,202,865.19

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Solution

The third proportional to 759,628.13 and 1,202,865.19 is: 1,904,727.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    759,628.13 : 1,202,865.19 = 1,202,865.19 : x
  2. Step 2: Convert to fraction form
    759,628.13/1,202,865.19 = 1,202,865.19/x
  3. Step 3: Cross multiply
    759,628.13x = 1,202,865.19 × 1,202,865.19
  4. Step 4: Simplify right side
    759,628.13x = 1,446,884,659,299.41
  5. Step 5: Solve for x
    x = 1,446,884,659,299.41/759,628.13
  6. Step 6: Final answer
    x = 1,904,727.61

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These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.