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Finding the Third Proportional to 2,380,270 and 3,626,160

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Solution

The third proportional to 2,380,270 and 3,626,160 is: 5,524,178.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,380,270 : 3,626,160 = 3,626,160 : x
  2. Step 2: Convert to fraction form
    2,380,270/3,626,160 = 3,626,160/x
  3. Step 3: Cross multiply
    2,380,270x = 3,626,160 × 3,626,160
  4. Step 4: Simplify right side
    2,380,270x = 13,149,036,345,600
  5. Step 5: Solve for x
    x = 13,149,036,345,600/2,380,270
  6. Step 6: Final answer
    x = 5,524,178.49

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.