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Finding the Third Proportional to 1,022,969.25 and 1,548,669.38

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Solution

The third proportional to 1,022,969.25 and 1,548,669.38 is: 2,344,524.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,022,969.25 : 1,548,669.38 = 1,548,669.38 : x
  2. Step 2: Convert to fraction form
    1,022,969.25/1,548,669.38 = 1,548,669.38/x
  3. Step 3: Cross multiply
    1,022,969.25x = 1,548,669.38 × 1,548,669.38
  4. Step 4: Simplify right side
    1,022,969.25x = 2,398,376,833,062.89
  5. Step 5: Solve for x
    x = 2,398,376,833,062.89/1,022,969.25
  6. Step 6: Final answer
    x = 2,344,524.86

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.