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Finding the Third Proportional to 836,169 and 1,790,397

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Solution

The third proportional to 836,169 and 1,790,397 is: 3,833,580.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    836,169 : 1,790,397 = 1,790,397 : x
  2. Step 2: Convert to fraction form
    836,169/1,790,397 = 1,790,397/x
  3. Step 3: Cross multiply
    836,169x = 1,790,397 × 1,790,397
  4. Step 4: Simplify right side
    836,169x = 3,205,521,417,609
  5. Step 5: Solve for x
    x = 3,205,521,417,609/836,169
  6. Step 6: Final answer
    x = 3,833,580.79

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.