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Finding the Third Proportional to 494,721 and 1,078,029

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Solution

The third proportional to 494,721 and 1,078,029 is: 2,349,094.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    494,721 : 1,078,029 = 1,078,029 : x
  2. Step 2: Convert to fraction form
    494,721/1,078,029 = 1,078,029/x
  3. Step 3: Cross multiply
    494,721x = 1,078,029 × 1,078,029
  4. Step 4: Simplify right side
    494,721x = 1,162,146,524,841
  5. Step 5: Solve for x
    x = 1,162,146,524,841/494,721
  6. Step 6: Final answer
    x = 2,349,094.79

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.