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Finding the Third Proportional to 746,856 and 1,612,296

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Solution

The third proportional to 746,856 and 1,612,296 is: 3,480,588.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    746,856 : 1,612,296 = 1,612,296 : x
  2. Step 2: Convert to fraction form
    746,856/1,612,296 = 1,612,296/x
  3. Step 3: Cross multiply
    746,856x = 1,612,296 × 1,612,296
  4. Step 4: Simplify right side
    746,856x = 2,599,498,391,616
  5. Step 5: Solve for x
    x = 2,599,498,391,616/746,856
  6. Step 6: Final answer
    x = 3,480,588.48

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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.