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Finding the Third Proportional to 775,012 and 1,672,328

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Solution

The third proportional to 775,012 and 1,672,328 is: 3,608,564.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    775,012 : 1,672,328 = 1,672,328 : x
  2. Step 2: Convert to fraction form
    775,012/1,672,328 = 1,672,328/x
  3. Step 3: Cross multiply
    775,012x = 1,672,328 × 1,672,328
  4. Step 4: Simplify right side
    775,012x = 2,796,680,939,584
  5. Step 5: Solve for x
    x = 2,796,680,939,584/775,012
  6. Step 6: Final answer
    x = 3,608,564.69

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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.