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Finding the Third Proportional to 1,182,631.50 and 2,555,257.50

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Solution

The third proportional to 1,182,631.50 and 2,555,257.50 is: 5,521,027.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,182,631.50 : 2,555,257.50 = 2,555,257.50 : x
  2. Step 2: Convert to fraction form
    1,182,631.50/2,555,257.50 = 2,555,257.50/x
  3. Step 3: Cross multiply
    1,182,631.50x = 2,555,257.50 × 2,555,257.50
  4. Step 4: Simplify right side
    1,182,631.50x = 6,529,340,891,306.25
  5. Step 5: Solve for x
    x = 6,529,340,891,306.25/1,182,631.50
  6. Step 6: Final answer
    x = 5,521,027.38

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Why These Related Problems?

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