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Finding the Third Proportional to 517,092 and 1,096,788

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Solution

The third proportional to 517,092 and 1,096,788 is: 2,326,363.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    517,092 : 1,096,788 = 1,096,788 : x
  2. Step 2: Convert to fraction form
    517,092/1,096,788 = 1,096,788/x
  3. Step 3: Cross multiply
    517,092x = 1,096,788 × 1,096,788
  4. Step 4: Simplify right side
    517,092x = 1,202,943,916,944
  5. Step 5: Solve for x
    x = 1,202,943,916,944/517,092
  6. Step 6: Final answer
    x = 2,326,363.43

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.