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Finding the Third Proportional to 1,207,474.50 and 2,514,165

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Solution

The third proportional to 1,207,474.50 and 2,514,165 is: 5,234,914.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,207,474.50 : 2,514,165 = 2,514,165 : x
  2. Step 2: Convert to fraction form
    1,207,474.50/2,514,165 = 2,514,165/x
  3. Step 3: Cross multiply
    1,207,474.50x = 2,514,165 × 2,514,165
  4. Step 4: Simplify right side
    1,207,474.50x = 6,321,025,647,225
  5. Step 5: Solve for x
    x = 6,321,025,647,225/1,207,474.50
  6. Step 6: Final answer
    x = 5,234,914.40

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.