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Finding the Third Proportional to 409,203 and 892,746

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Solution

The third proportional to 409,203 and 892,746 is: 1,947,677.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,203 : 892,746 = 892,746 : x
  2. Step 2: Convert to fraction form
    409,203/892,746 = 892,746/x
  3. Step 3: Cross multiply
    409,203x = 892,746 × 892,746
  4. Step 4: Simplify right side
    409,203x = 796,995,420,516
  5. Step 5: Solve for x
    x = 796,995,420,516/409,203
  6. Step 6: Final answer
    x = 1,947,677.36

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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.