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Finding the Third Proportional to 414,861.75 and 902,593.13

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Solution

The third proportional to 414,861.75 and 902,593.13 is: 1,963,724.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    414,861.75 : 902,593.13 = 902,593.13 : x
  2. Step 2: Convert to fraction form
    414,861.75/902,593.13 = 902,593.13/x
  3. Step 3: Cross multiply
    414,861.75x = 902,593.13 × 902,593.13
  4. Step 4: Simplify right side
    414,861.75x = 814,674,349,297.27
  5. Step 5: Solve for x
    x = 814,674,349,297.27/414,861.75
  6. Step 6: Final answer
    x = 1,963,724.90

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.