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Finding the Third Proportional to 485,973 and 1,002,997.69

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Solution

The third proportional to 485,973 and 1,002,997.69 is: 2,070,082.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    485,973 : 1,002,997.69 = 1,002,997.69 : x
  2. Step 2: Convert to fraction form
    485,973/1,002,997.69 = 1,002,997.69/x
  3. Step 3: Cross multiply
    485,973x = 1,002,997.69 × 1,002,997.69
  4. Step 4: Simplify right side
    485,973x = 1,006,004,361,130.35
  5. Step 5: Solve for x
    x = 1,006,004,361,130.35/485,973
  6. Step 6: Final answer
    x = 2,070,082.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.