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Finding the Third Proportional to 1,436,571 and 2,142,397

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Solution

The third proportional to 1,436,571 and 2,142,397 is: 3,195,014.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,436,571 : 2,142,397 = 2,142,397 : x
  2. Step 2: Convert to fraction form
    1,436,571/2,142,397 = 2,142,397/x
  3. Step 3: Cross multiply
    1,436,571x = 2,142,397 × 2,142,397
  4. Step 4: Simplify right side
    1,436,571x = 4,589,864,905,609
  5. Step 5: Solve for x
    x = 4,589,864,905,609/1,436,571
  6. Step 6: Final answer
    x = 3,195,014.31

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.