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Finding the Third Proportional to 490,695 and 999,432

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Solution

The third proportional to 490,695 and 999,432 is: 2,035,611.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,695 : 999,432 = 999,432 : x
  2. Step 2: Convert to fraction form
    490,695/999,432 = 999,432/x
  3. Step 3: Cross multiply
    490,695x = 999,432 × 999,432
  4. Step 4: Simplify right side
    490,695x = 998,864,322,624
  5. Step 5: Solve for x
    x = 998,864,322,624/490,695
  6. Step 6: Final answer
    x = 2,035,611.37

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.