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Finding the Third Proportional to 513,562 and 1,145,144

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Solution

The third proportional to 513,562 and 1,145,144 is: 2,553,449.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,562 : 1,145,144 = 1,145,144 : x
  2. Step 2: Convert to fraction form
    513,562/1,145,144 = 1,145,144/x
  3. Step 3: Cross multiply
    513,562x = 1,145,144 × 1,145,144
  4. Step 4: Simplify right side
    513,562x = 1,311,354,780,736
  5. Step 5: Solve for x
    x = 1,311,354,780,736/513,562
  6. Step 6: Final answer
    x = 2,553,449.79

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.