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Finding the Third Proportional to 398,823 and 867,630

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Solution

The third proportional to 398,823 and 867,630 is: 1,887,508.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,823 : 867,630 = 867,630 : x
  2. Step 2: Convert to fraction form
    398,823/867,630 = 867,630/x
  3. Step 3: Cross multiply
    398,823x = 867,630 × 867,630
  4. Step 4: Simplify right side
    398,823x = 752,781,816,900
  5. Step 5: Solve for x
    x = 752,781,816,900/398,823
  6. Step 6: Final answer
    x = 1,887,508.54

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.