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Finding the Third Proportional to 2,362,080 and 3,664,512

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Solution

The third proportional to 2,362,080 and 3,664,512 is: 5,685,094.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,362,080 : 3,664,512 = 3,664,512 : x
  2. Step 2: Convert to fraction form
    2,362,080/3,664,512 = 3,664,512/x
  3. Step 3: Cross multiply
    2,362,080x = 3,664,512 × 3,664,512
  4. Step 4: Simplify right side
    2,362,080x = 13,428,648,198,144
  5. Step 5: Solve for x
    x = 13,428,648,198,144/2,362,080
  6. Step 6: Final answer
    x = 5,685,094.58

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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.