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Finding the Third Proportional to 1,185,285.66 and 2,557,218.09

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Solution

The third proportional to 1,185,285.66 and 2,557,218.09 is: 5,517,120.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,185,285.66 : 2,557,218.09 = 2,557,218.09 : x
  2. Step 2: Convert to fraction form
    1,185,285.66/2,557,218.09 = 2,557,218.09/x
  3. Step 3: Cross multiply
    1,185,285.66x = 2,557,218.09 × 2,557,218.09
  4. Step 4: Simplify right side
    1,185,285.66x = 6,539,364,379,002.38
  5. Step 5: Solve for x
    x = 6,539,364,379,002.38/1,185,285.66
  6. Step 6: Final answer
    x = 5,517,120.99

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.