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Finding the Third Proportional to 2,117,664 and 3,196,242

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Solution

The third proportional to 2,117,664 and 3,196,242 is: 4,824,166.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,664 : 3,196,242 = 3,196,242 : x
  2. Step 2: Convert to fraction form
    2,117,664/3,196,242 = 3,196,242/x
  3. Step 3: Cross multiply
    2,117,664x = 3,196,242 × 3,196,242
  4. Step 4: Simplify right side
    2,117,664x = 10,215,962,922,564
  5. Step 5: Solve for x
    x = 10,215,962,922,564/2,117,664
  6. Step 6: Final answer
    x = 4,824,166.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.