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Finding the Third Proportional to 2,278,728 and 3,542,532

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Solution

The third proportional to 2,278,728 and 3,542,532 is: 5,507,253.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,278,728 : 3,542,532 = 3,542,532 : x
  2. Step 2: Convert to fraction form
    2,278,728/3,542,532 = 3,542,532/x
  3. Step 3: Cross multiply
    2,278,728x = 3,542,532 × 3,542,532
  4. Step 4: Simplify right side
    2,278,728x = 12,549,532,971,024
  5. Step 5: Solve for x
    x = 12,549,532,971,024/2,278,728
  6. Step 6: Final answer
    x = 5,507,253.60

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.