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Finding the Third Proportional to 621,285.19 and 1,361,146.78

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Solution

The third proportional to 621,285.19 and 1,361,146.78 is: 2,982,077.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,285.19 : 1,361,146.78 = 1,361,146.78 : x
  2. Step 2: Convert to fraction form
    621,285.19/1,361,146.78 = 1,361,146.78/x
  3. Step 3: Cross multiply
    621,285.19x = 1,361,146.78 × 1,361,146.78
  4. Step 4: Simplify right side
    621,285.19x = 1,852,720,560,107.24
  5. Step 5: Solve for x
    x = 1,852,720,560,107.24/621,285.19
  6. Step 6: Final answer
    x = 2,982,077.47

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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.