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Finding the Third Proportional to 809,473.50 and 1,753,083

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Solution

The third proportional to 809,473.50 and 1,753,083 is: 3,796,665.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    809,473.50 : 1,753,083 = 1,753,083 : x
  2. Step 2: Convert to fraction form
    809,473.50/1,753,083 = 1,753,083/x
  3. Step 3: Cross multiply
    809,473.50x = 1,753,083 × 1,753,083
  4. Step 4: Simplify right side
    809,473.50x = 3,073,300,004,889
  5. Step 5: Solve for x
    x = 3,073,300,004,889/809,473.50
  6. Step 6: Final answer
    x = 3,796,665.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.