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Finding the Third Proportional to 824,008 and 1,782,800

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Solution

The third proportional to 824,008 and 1,782,800 is: 3,857,214.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,008 : 1,782,800 = 1,782,800 : x
  2. Step 2: Convert to fraction form
    824,008/1,782,800 = 1,782,800/x
  3. Step 3: Cross multiply
    824,008x = 1,782,800 × 1,782,800
  4. Step 4: Simplify right side
    824,008x = 3,178,375,840,000
  5. Step 5: Solve for x
    x = 3,178,375,840,000/824,008
  6. Step 6: Final answer
    x = 3,857,214.78

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.