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Finding the Third Proportional to 778,838 and 1,674,019

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Solution

The third proportional to 778,838 and 1,674,019 is: 3,598,103.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,838 : 1,674,019 = 1,674,019 : x
  2. Step 2: Convert to fraction form
    778,838/1,674,019 = 1,674,019/x
  3. Step 3: Cross multiply
    778,838x = 1,674,019 × 1,674,019
  4. Step 4: Simplify right side
    778,838x = 2,802,339,612,361
  5. Step 5: Solve for x
    x = 2,802,339,612,361/778,838
  6. Step 6: Final answer
    x = 3,598,103.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.