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Finding the Third Proportional to 412,614 and 874,921.50

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Solution

The third proportional to 412,614 and 874,921.50 is: 1,855,214.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    412,614 : 874,921.50 = 874,921.50 : x
  2. Step 2: Convert to fraction form
    412,614/874,921.50 = 874,921.50/x
  3. Step 3: Cross multiply
    412,614x = 874,921.50 × 874,921.50
  4. Step 4: Simplify right side
    412,614x = 765,487,631,162.25
  5. Step 5: Solve for x
    x = 765,487,631,162.25/412,614
  6. Step 6: Final answer
    x = 1,855,214.88

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.