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Finding the Third Proportional to 409,648 and 838,975

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Solution

The third proportional to 409,648 and 838,975 is: 1,718,253.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,648 : 838,975 = 838,975 : x
  2. Step 2: Convert to fraction form
    409,648/838,975 = 838,975/x
  3. Step 3: Cross multiply
    409,648x = 838,975 × 838,975
  4. Step 4: Simplify right side
    409,648x = 703,879,050,625
  5. Step 5: Solve for x
    x = 703,879,050,625/409,648
  6. Step 6: Final answer
    x = 1,718,253.36

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.