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Finding the Third Proportional to 1,195,156.50 and 2,589,451.50

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Solution

The third proportional to 1,195,156.50 and 2,589,451.50 is: 5,610,360.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,195,156.50 : 2,589,451.50 = 2,589,451.50 : x
  2. Step 2: Convert to fraction form
    1,195,156.50/2,589,451.50 = 2,589,451.50/x
  3. Step 3: Cross multiply
    1,195,156.50x = 2,589,451.50 × 2,589,451.50
  4. Step 4: Simplify right side
    1,195,156.50x = 6,705,259,070,852.25
  5. Step 5: Solve for x
    x = 6,705,259,070,852.25/1,195,156.50
  6. Step 6: Final answer
    x = 5,610,360.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.