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Finding the Third Proportional to 848,414 and 1,829,668

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Solution

The third proportional to 848,414 and 1,829,668 is: 3,945,815.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    848,414 : 1,829,668 = 1,829,668 : x
  2. Step 2: Convert to fraction form
    848,414/1,829,668 = 1,829,668/x
  3. Step 3: Cross multiply
    848,414x = 1,829,668 × 1,829,668
  4. Step 4: Simplify right side
    848,414x = 3,347,684,990,224
  5. Step 5: Solve for x
    x = 3,347,684,990,224/848,414
  6. Step 6: Final answer
    x = 3,945,815.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.