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Finding the Third Proportional to 409,101 and 875,058

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Solution

The third proportional to 409,101 and 875,058 is: 1,871,729.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,101 : 875,058 = 875,058 : x
  2. Step 2: Convert to fraction form
    409,101/875,058 = 875,058/x
  3. Step 3: Cross multiply
    409,101x = 875,058 × 875,058
  4. Step 4: Simplify right side
    409,101x = 765,726,503,364
  5. Step 5: Solve for x
    x = 765,726,503,364/409,101
  6. Step 6: Final answer
    x = 1,871,729.73

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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.