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Finding the Third Proportional to 824,343 and 1,793,847

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Solution

The third proportional to 824,343 and 1,793,847 is: 3,903,577.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,343 : 1,793,847 = 1,793,847 : x
  2. Step 2: Convert to fraction form
    824,343/1,793,847 = 1,793,847/x
  3. Step 3: Cross multiply
    824,343x = 1,793,847 × 1,793,847
  4. Step 4: Simplify right side
    824,343x = 3,217,887,059,409
  5. Step 5: Solve for x
    x = 3,217,887,059,409/824,343
  6. Step 6: Final answer
    x = 3,903,577.83

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.