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Finding the Third Proportional to 409,298 and 838,882

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Solution

The third proportional to 409,298 and 838,882 is: 1,719,341.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    409,298 : 838,882 = 838,882 : x
  2. Step 2: Convert to fraction form
    409,298/838,882 = 838,882/x
  3. Step 3: Cross multiply
    409,298x = 838,882 × 838,882
  4. Step 4: Simplify right side
    409,298x = 703,723,009,924
  5. Step 5: Solve for x
    x = 703,723,009,924/409,298
  6. Step 6: Final answer
    x = 1,719,341.43

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.