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Finding the Third Proportional to 824,342 and 1,793,846

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Solution

The third proportional to 824,342 and 1,793,846 is: 3,903,578.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,342 : 1,793,846 = 1,793,846 : x
  2. Step 2: Convert to fraction form
    824,342/1,793,846 = 1,793,846/x
  3. Step 3: Cross multiply
    824,342x = 1,793,846 × 1,793,846
  4. Step 4: Simplify right side
    824,342x = 3,217,883,471,716
  5. Step 5: Solve for x
    x = 3,217,883,471,716/824,342
  6. Step 6: Final answer
    x = 3,903,578.21

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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.