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Finding the Third Proportional to 485,510 and 990,296

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Solution

The third proportional to 485,510 and 990,296 is: 2,019,909.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,510 : 990,296 = 990,296 : x
  2. Step 2: Convert to fraction form
    485,510/990,296 = 990,296/x
  3. Step 3: Cross multiply
    485,510x = 990,296 × 990,296
  4. Step 4: Simplify right side
    485,510x = 980,686,167,616
  5. Step 5: Solve for x
    x = 980,686,167,616/485,510
  6. Step 6: Final answer
    x = 2,019,909.31

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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.