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Finding the Third Proportional to 516,144 and 1,111,388

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Solution

The third proportional to 516,144 and 1,111,388 is: 2,393,098.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,144 : 1,111,388 = 1,111,388 : x
  2. Step 2: Convert to fraction form
    516,144/1,111,388 = 1,111,388/x
  3. Step 3: Cross multiply
    516,144x = 1,111,388 × 1,111,388
  4. Step 4: Simplify right side
    516,144x = 1,235,183,286,544
  5. Step 5: Solve for x
    x = 1,235,183,286,544/516,144
  6. Step 6: Final answer
    x = 2,393,098.22

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.