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Finding the Third Proportional to 893,694 and 1,915,311

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Solution

The third proportional to 893,694 and 1,915,311 is: 4,104,778.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    893,694 : 1,915,311 = 1,915,311 : x
  2. Step 2: Convert to fraction form
    893,694/1,915,311 = 1,915,311/x
  3. Step 3: Cross multiply
    893,694x = 1,915,311 × 1,915,311
  4. Step 4: Simplify right side
    893,694x = 3,668,416,226,721
  5. Step 5: Solve for x
    x = 3,668,416,226,721/893,694
  6. Step 6: Final answer
    x = 4,104,778.85

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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.