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Finding the Third Proportional to 1,153,970.25 and 2,671,231.75

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Solution

The third proportional to 1,153,970.25 and 2,671,231.75 is: 6,183,416.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,153,970.25 : 2,671,231.75 = 2,671,231.75 : x
  2. Step 2: Convert to fraction form
    1,153,970.25/2,671,231.75 = 2,671,231.75/x
  3. Step 3: Cross multiply
    1,153,970.25x = 2,671,231.75 × 2,671,231.75
  4. Step 4: Simplify right side
    1,153,970.25x = 7,135,479,062,208.06
  5. Step 5: Solve for x
    x = 7,135,479,062,208.06/1,153,970.25
  6. Step 6: Final answer
    x = 6,183,416.83

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These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.