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Finding the Third Proportional to 409,091 and 875,039

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Solution

The third proportional to 409,091 and 875,039 is: 1,871,694.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,091 : 875,039 = 875,039 : x
  2. Step 2: Convert to fraction form
    409,091/875,039 = 875,039/x
  3. Step 3: Cross multiply
    409,091x = 875,039 × 875,039
  4. Step 4: Simplify right side
    409,091x = 765,693,251,521
  5. Step 5: Solve for x
    x = 765,693,251,521/409,091
  6. Step 6: Final answer
    x = 1,871,694.20

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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.