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Finding the Third Proportional to 824,346 and 1,793,853

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Solution

The third proportional to 824,346 and 1,793,853 is: 3,903,589.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    824,346 : 1,793,853 = 1,793,853 : x
  2. Step 2: Convert to fraction form
    824,346/1,793,853 = 1,793,853/x
  3. Step 3: Cross multiply
    824,346x = 1,793,853 × 1,793,853
  4. Step 4: Simplify right side
    824,346x = 3,217,908,585,609
  5. Step 5: Solve for x
    x = 3,217,908,585,609/824,346
  6. Step 6: Final answer
    x = 3,903,589.74

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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.