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Finding the Third Proportional to 2,171,470 and 3,194,048

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Solution

The third proportional to 2,171,470 and 3,194,048 is: 4,698,173.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,171,470 : 3,194,048 = 3,194,048 : x
  2. Step 2: Convert to fraction form
    2,171,470/3,194,048 = 3,194,048/x
  3. Step 3: Cross multiply
    2,171,470x = 3,194,048 × 3,194,048
  4. Step 4: Simplify right side
    2,171,470x = 10,201,942,626,304
  5. Step 5: Solve for x
    x = 10,201,942,626,304/2,171,470
  6. Step 6: Final answer
    x = 4,698,173.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.