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Finding the Third Proportional to 420,477.75 and 918,022

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Solution

The third proportional to 420,477.75 and 918,022 is: 2,004,301.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,477.75 : 918,022 = 918,022 : x
  2. Step 2: Convert to fraction form
    420,477.75/918,022 = 918,022/x
  3. Step 3: Cross multiply
    420,477.75x = 918,022 × 918,022
  4. Step 4: Simplify right side
    420,477.75x = 842,764,392,484
  5. Step 5: Solve for x
    x = 842,764,392,484/420,477.75
  6. Step 6: Final answer
    x = 2,004,301.99

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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.