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Finding the Third Proportional to 621,542 and 1,361,200

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Solution

The third proportional to 621,542 and 1,361,200 is: 2,981,078.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,542 : 1,361,200 = 1,361,200 : x
  2. Step 2: Convert to fraction form
    621,542/1,361,200 = 1,361,200/x
  3. Step 3: Cross multiply
    621,542x = 1,361,200 × 1,361,200
  4. Step 4: Simplify right side
    621,542x = 1,852,865,440,000
  5. Step 5: Solve for x
    x = 1,852,865,440,000/621,542
  6. Step 6: Final answer
    x = 2,981,078.41

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.