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Finding the Third Proportional to 415,477 and 918,144

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Solution

The third proportional to 415,477 and 918,144 is: 2,028,965.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,477 : 918,144 = 918,144 : x
  2. Step 2: Convert to fraction form
    415,477/918,144 = 918,144/x
  3. Step 3: Cross multiply
    415,477x = 918,144 × 918,144
  4. Step 4: Simplify right side
    415,477x = 842,988,404,736
  5. Step 5: Solve for x
    x = 842,988,404,736/415,477
  6. Step 6: Final answer
    x = 2,028,965.27

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.