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Finding the Third Proportional to 2,164,018 and 3,377,041

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Solution

The third proportional to 2,164,018 and 3,377,041 is: 5,270,014.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,164,018 : 3,377,041 = 3,377,041 : x
  2. Step 2: Convert to fraction form
    2,164,018/3,377,041 = 3,377,041/x
  3. Step 3: Cross multiply
    2,164,018x = 3,377,041 × 3,377,041
  4. Step 4: Simplify right side
    2,164,018x = 11,404,405,915,681
  5. Step 5: Solve for x
    x = 11,404,405,915,681/2,164,018
  6. Step 6: Final answer
    x = 5,270,014.35

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.