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Finding the Third Proportional to 1,830,622.50 and 3,936,744

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Solution

The third proportional to 1,830,622.50 and 3,936,744 is: 8,465,947.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,830,622.50 : 3,936,744 = 3,936,744 : x
  2. Step 2: Convert to fraction form
    1,830,622.50/3,936,744 = 3,936,744/x
  3. Step 3: Cross multiply
    1,830,622.50x = 3,936,744 × 3,936,744
  4. Step 4: Simplify right side
    1,830,622.50x = 15,497,953,321,536
  5. Step 5: Solve for x
    x = 15,497,953,321,536/1,830,622.50
  6. Step 6: Final answer
    x = 8,465,947.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.