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Finding the Third Proportional to 1,181,512.50 and 2,591,749.50

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Solution

The third proportional to 1,181,512.50 and 2,591,749.50 is: 5,685,225.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,181,512.50 : 2,591,749.50 = 2,591,749.50 : x
  2. Step 2: Convert to fraction form
    1,181,512.50/2,591,749.50 = 2,591,749.50/x
  3. Step 3: Cross multiply
    1,181,512.50x = 2,591,749.50 × 2,591,749.50
  4. Step 4: Simplify right side
    1,181,512.50x = 6,717,165,470,750.25
  5. Step 5: Solve for x
    x = 6,717,165,470,750.25/1,181,512.50
  6. Step 6: Final answer
    x = 5,685,225.90

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.