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Finding the Third Proportional to 952,542 and 1,451,145

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Solution

The third proportional to 952,542 and 1,451,145 is: 2,210,739.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    952,542 : 1,451,145 = 1,451,145 : x
  2. Step 2: Convert to fraction form
    952,542/1,451,145 = 1,451,145/x
  3. Step 3: Cross multiply
    952,542x = 1,451,145 × 1,451,145
  4. Step 4: Simplify right side
    952,542x = 2,105,821,811,025
  5. Step 5: Solve for x
    x = 2,105,821,811,025/952,542
  6. Step 6: Final answer
    x = 2,210,739.07

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.