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Finding the Third Proportional to 2,117,640 and 3,196,206

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Solution

The third proportional to 2,117,640 and 3,196,206 is: 4,824,112.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,117,640 : 3,196,206 = 3,196,206 : x
  2. Step 2: Convert to fraction form
    2,117,640/3,196,206 = 3,196,206/x
  3. Step 3: Cross multiply
    2,117,640x = 3,196,206 × 3,196,206
  4. Step 4: Simplify right side
    2,117,640x = 10,215,732,794,436
  5. Step 5: Solve for x
    x = 10,215,732,794,436/2,117,640
  6. Step 6: Final answer
    x = 4,824,112.12

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