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Finding the Third Proportional to 665,957 and 1,081,982

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Solution

The third proportional to 665,957 and 1,081,982 is: 1,757,898.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    665,957 : 1,081,982 = 1,081,982 : x
  2. Step 2: Convert to fraction form
    665,957/1,081,982 = 1,081,982/x
  3. Step 3: Cross multiply
    665,957x = 1,081,982 × 1,081,982
  4. Step 4: Simplify right side
    665,957x = 1,170,685,048,324
  5. Step 5: Solve for x
    x = 1,170,685,048,324/665,957
  6. Step 6: Final answer
    x = 1,757,898.86

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.