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Finding the Third Proportional to 830,342.81 and 1,726,955.44

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Solution

The third proportional to 830,342.81 and 1,726,955.44 is: 3,591,739.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    830,342.81 : 1,726,955.44 = 1,726,955.44 : x
  2. Step 2: Convert to fraction form
    830,342.81/1,726,955.44 = 1,726,955.44/x
  3. Step 3: Cross multiply
    830,342.81x = 1,726,955.44 × 1,726,955.44
  4. Step 4: Simplify right side
    830,342.81x = 2,982,375,083,110.82
  5. Step 5: Solve for x
    x = 2,982,375,083,110.82/830,342.81
  6. Step 6: Final answer
    x = 3,591,739.51

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.