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Finding the Third Proportional to 764,131 and 1,641,006

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Solution

The third proportional to 764,131 and 1,641,006 is: 3,524,134.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    764,131 : 1,641,006 = 1,641,006 : x
  2. Step 2: Convert to fraction form
    764,131/1,641,006 = 1,641,006/x
  3. Step 3: Cross multiply
    764,131x = 1,641,006 × 1,641,006
  4. Step 4: Simplify right side
    764,131x = 2,692,900,692,036
  5. Step 5: Solve for x
    x = 2,692,900,692,036/764,131
  6. Step 6: Final answer
    x = 3,524,134.86

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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.