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Finding the Third Proportional to 1,636,167 and 3,821,409

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Solution

The third proportional to 1,636,167 and 3,821,409 is: 8,925,229.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,636,167 : 3,821,409 = 3,821,409 : x
  2. Step 2: Convert to fraction form
    1,636,167/3,821,409 = 3,821,409/x
  3. Step 3: Cross multiply
    1,636,167x = 3,821,409 × 3,821,409
  4. Step 4: Simplify right side
    1,636,167x = 14,603,166,745,281
  5. Step 5: Solve for x
    x = 14,603,166,745,281/1,636,167
  6. Step 6: Final answer
    x = 8,925,229.97

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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.