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Finding the Third Proportional to 409,105 and 875,066

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Solution

The third proportional to 409,105 and 875,066 is: 1,871,745.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,105 : 875,066 = 875,066 : x
  2. Step 2: Convert to fraction form
    409,105/875,066 = 875,066/x
  3. Step 3: Cross multiply
    409,105x = 875,066 × 875,066
  4. Step 4: Simplify right side
    409,105x = 765,740,504,356
  5. Step 5: Solve for x
    x = 765,740,504,356/409,105
  6. Step 6: Final answer
    x = 1,871,745.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.