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Finding the Third Proportional to 546,760 and 1,183,376

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Solution

The third proportional to 546,760 and 1,183,376 is: 2,561,231.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    546,760 : 1,183,376 = 1,183,376 : x
  2. Step 2: Convert to fraction form
    546,760/1,183,376 = 1,183,376/x
  3. Step 3: Cross multiply
    546,760x = 1,183,376 × 1,183,376
  4. Step 4: Simplify right side
    546,760x = 1,400,378,757,376
  5. Step 5: Solve for x
    x = 1,400,378,757,376/546,760
  6. Step 6: Final answer
    x = 2,561,231.18

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.