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Finding the Third Proportional to 516,906 and 1,095,183

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Solution

The third proportional to 516,906 and 1,095,183 is: 2,320,394.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    516,906 : 1,095,183 = 1,095,183 : x
  2. Step 2: Convert to fraction form
    516,906/1,095,183 = 1,095,183/x
  3. Step 3: Cross multiply
    516,906x = 1,095,183 × 1,095,183
  4. Step 4: Simplify right side
    516,906x = 1,199,425,803,489
  5. Step 5: Solve for x
    x = 1,199,425,803,489/516,906
  6. Step 6: Final answer
    x = 2,320,394.43

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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.