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Finding the Third Proportional to 681,409.13 and 1,475,659.69

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Solution

The third proportional to 681,409.13 and 1,475,659.69 is: 3,195,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    681,409.13 : 1,475,659.69 = 1,475,659.69 : x
  2. Step 2: Convert to fraction form
    681,409.13/1,475,659.69 = 1,475,659.69/x
  3. Step 3: Cross multiply
    681,409.13x = 1,475,659.69 × 1,475,659.69
  4. Step 4: Simplify right side
    681,409.13x = 2,177,571,513,312.60
  5. Step 5: Solve for x
    x = 2,177,571,513,312.60/681,409.13
  6. Step 6: Final answer
    x = 3,195,688.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.