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Finding the Third Proportional to 409,104 and 875,070

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Solution

The third proportional to 409,104 and 875,070 is: 1,871,767.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,104 : 875,070 = 875,070 : x
  2. Step 2: Convert to fraction form
    409,104/875,070 = 875,070/x
  3. Step 3: Cross multiply
    409,104x = 875,070 × 875,070
  4. Step 4: Simplify right side
    409,104x = 765,747,504,900
  5. Step 5: Solve for x
    x = 765,747,504,900/409,104
  6. Step 6: Final answer
    x = 1,871,767.34

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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.