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Finding the Third Proportional to 621,601 and 1,358,757.50

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Solution

The third proportional to 621,601 and 1,358,757.50 is: 2,970,107.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    621,601 : 1,358,757.50 = 1,358,757.50 : x
  2. Step 2: Convert to fraction form
    621,601/1,358,757.50 = 1,358,757.50/x
  3. Step 3: Cross multiply
    621,601x = 1,358,757.50 × 1,358,757.50
  4. Step 4: Simplify right side
    621,601x = 1,846,221,943,806.25
  5. Step 5: Solve for x
    x = 1,846,221,943,806.25/621,601
  6. Step 6: Final answer
    x = 2,970,107.74

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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.