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Finding the Third Proportional to 599,940 and 1,416,191

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Solution

The third proportional to 599,940 and 1,416,191 is: 3,342,995.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    599,940 : 1,416,191 = 1,416,191 : x
  2. Step 2: Convert to fraction form
    599,940/1,416,191 = 1,416,191/x
  3. Step 3: Cross multiply
    599,940x = 1,416,191 × 1,416,191
  4. Step 4: Simplify right side
    599,940x = 2,005,596,948,481
  5. Step 5: Solve for x
    x = 2,005,596,948,481/599,940
  6. Step 6: Final answer
    x = 3,342,995.88

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.