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Finding the Third Proportional to 1,636,169 and 3,821,414

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Solution

The third proportional to 1,636,169 and 3,821,414 is: 8,925,242.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,169 : 3,821,414 = 3,821,414 : x
  2. Step 2: Convert to fraction form
    1,636,169/3,821,414 = 3,821,414/x
  3. Step 3: Cross multiply
    1,636,169x = 3,821,414 × 3,821,414
  4. Step 4: Simplify right side
    1,636,169x = 14,603,204,959,396
  5. Step 5: Solve for x
    x = 14,603,204,959,396/1,636,169
  6. Step 6: Final answer
    x = 8,925,242.42

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.