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Finding the Third Proportional to 827,017.59 and 1,754,409.38

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Solution

The third proportional to 827,017.59 and 1,754,409.38 is: 3,721,749.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    827,017.59 : 1,754,409.38 = 1,754,409.38 : x
  2. Step 2: Convert to fraction form
    827,017.59/1,754,409.38 = 1,754,409.38/x
  3. Step 3: Cross multiply
    827,017.59x = 1,754,409.38 × 1,754,409.38
  4. Step 4: Simplify right side
    827,017.59x = 3,077,952,255,087.89
  5. Step 5: Solve for x
    x = 3,077,952,255,087.89/827,017.59
  6. Step 6: Final answer
    x = 3,721,749.43

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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.