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Finding the Third Proportional to 199,122 and 469,887

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Solution

The third proportional to 199,122 and 469,887 is: 1,108,836.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    199,122 : 469,887 = 469,887 : x
  2. Step 2: Convert to fraction form
    199,122/469,887 = 469,887/x
  3. Step 3: Cross multiply
    199,122x = 469,887 × 469,887
  4. Step 4: Simplify right side
    199,122x = 220,793,792,769
  5. Step 5: Solve for x
    x = 220,793,792,769/199,122
  6. Step 6: Final answer
    x = 1,108,836.76

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.