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Finding the Third Proportional to 812,472 and 1,760,538

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Solution

The third proportional to 812,472 and 1,760,538 is: 3,814,893.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    812,472 : 1,760,538 = 1,760,538 : x
  2. Step 2: Convert to fraction form
    812,472/1,760,538 = 1,760,538/x
  3. Step 3: Cross multiply
    812,472x = 1,760,538 × 1,760,538
  4. Step 4: Simplify right side
    812,472x = 3,099,494,049,444
  5. Step 5: Solve for x
    x = 3,099,494,049,444/812,472
  6. Step 6: Final answer
    x = 3,814,893.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.