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Finding the Third Proportional to 2,591,490.75 and 5,638,765.75

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Solution

The third proportional to 2,591,490.75 and 5,638,765.75 is: 12,269,262.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,591,490.75 : 5,638,765.75 = 5,638,765.75 : x
  2. Step 2: Convert to fraction form
    2,591,490.75/5,638,765.75 = 5,638,765.75/x
  3. Step 3: Cross multiply
    2,591,490.75x = 5,638,765.75 × 5,638,765.75
  4. Step 4: Simplify right side
    2,591,490.75x = 31,795,679,183,373.06
  5. Step 5: Solve for x
    x = 31,795,679,183,373.06/2,591,490.75
  6. Step 6: Final answer
    x = 12,269,262.08

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.