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Finding the Third Proportional to 826,976.25 and 1,754,326.50

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Solution

The third proportional to 826,976.25 and 1,754,326.50 is: 3,721,583.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    826,976.25 : 1,754,326.50 = 1,754,326.50 : x
  2. Step 2: Convert to fraction form
    826,976.25/1,754,326.50 = 1,754,326.50/x
  3. Step 3: Cross multiply
    826,976.25x = 1,754,326.50 × 1,754,326.50
  4. Step 4: Simplify right side
    826,976.25x = 3,077,661,468,602.25
  5. Step 5: Solve for x
    x = 3,077,661,468,602.25/826,976.25
  6. Step 6: Final answer
    x = 3,721,583.86

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.